Description |
The discovery of the Stochastic Loewner Evolution (SLE) by Oded Schramm and the ensuing revitalization of 2D critical phenomena as a stochastic evolution of geometry has been the one of the most spectacular theoretical developments in recent years. This development was honored by a Fields Metal in 2006 awarded to Wendelin Werner for foundational work done on SLE with O. Schramm and Greg Lawler. SLE has a vast web of interconnections with many areas of theoretical physics, including 2D conformal field theory, 2D quantum gravity, random matrix theory, multifractal properties of stochastic media, stochastic growth phenomena and many others. Moreover, surprising connections with 2D fully developed turbulence and 2D spin glasses have just recently emerged. The aim of this School is to provide an overview of these important and far-reaching recent developments by the leading experts in this field. Topics include: • Stochastic Loewner Evolution • 2D Conformal Field Theory • 2D Quantum Gravity • Multifractal Properties of Stochastic Systems • Stochastic Growth Processes • Connections with 2D Turbulence and Spin Glasses |
School on Stochastic Geometry, the Stochastic Loewner Evolution, and Non-Equilibrium Growth Processes | (smr 1952)
Go to day
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08:30 - 10:00
Registration at Adriatico Guest House, lower level 1, outside Giambiagi Lecture Hall
Location: Adriatico Guest House - Giambiagi Lecture Hall Area (Lower Level 1) -
08:30
Registration at Adriatico Guest House, lower level 1, outside Giambiagi Lecture Hall
1h30'
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08:30
Registration at Adriatico Guest House, lower level 1, outside Giambiagi Lecture Hall
1h30'
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10:15 - 10:45
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall - 10:15 Coffee break 30'
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10:45 - 11:00
Opening
Location: Adriatico Guest House Giambiagi Lecture Hall -
10:45
Opening
15'
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10:45
Opening
15'
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11:00 - 12:30
Introduction to conformally invariant processes - part I
Location: Adriatico Guest House Giambiagi Lecture Hall -
11:00
Introduction to conformally invariant processes - part I
1h30'
Speaker: Gregory F. LAWLER (Dept. Mathematics, Univ. Chicago, Chicago, U.S.A.)
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11:00
Introduction to conformally invariant processes - part I
1h30'
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12:30 - 14:00
Lunch break
Location: Adriatico Guest House Giambiagi Lecture Hall - 12:30 Lunch break 1h30'
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14:00 - 15:30
Introduction to conformally invariant processes - part II
Location: Adriatico Guest House Giambiagi Lecture Hall -
14:00
Introduction to conformally invariant processes - part II
1h30'
Speaker: Gregory F. LAWLER (Univ. Chicago, Dept. of Maths, Chicago, U.S.A.)
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14:00
Introduction to conformally invariant processes - part II
1h30'
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15:30 - 16:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall - 15:30 Coffee break 30'
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16:00 - 17:30
Some discrete models of growth and interfaces, and their continuum counterpart - part I
Location: Adriatico Guest House Giambiagi Lecture Hall -
16:00
Some discrete models of growth and interfaces, and their continuum counterpart - part I
1h30'
Speaker: Michel BAUER (CEA Saclay, DSM IPhT, Gif-sur-Yvette, France) Material: lecture notes
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16:00
Some discrete models of growth and interfaces, and their continuum counterpart - part I
1h30'
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08:30 - 10:00
Registration at Adriatico Guest House, lower level 1, outside Giambiagi Lecture Hall
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09:00 - 10:30
Random conformal geometry and quantum gravity - part I
Location: Adriatico Guest House Giambiagi Lecture Hall -
09:00
Random conformal geometry and quantum gravity - part I
1h30'
Speaker: Bertrand DUPLANTIER (CEN Saclay, Physique Theorique, Gif-sur-Yvette, France)
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09:00
Random conformal geometry and quantum gravity - part I
1h30'
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10:30 - 11:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall - 10:30 Coffee break 30'
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11:00 - 12:30
Some discrete models of growth and interfaces, and their continuum counterpart - part II
Location: Adriatico Guest House Giambiagi Lecture Hall -
11:00
Some discrete models of growth and interfaces, and their continuum counterpart - part II
1h30'
Speaker: Michel BAUER (CEA Saclay, DSM IPhT, Gif-sur-Yvette, France) Material: lecture notes
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11:00
Some discrete models of growth and interfaces, and their continuum counterpart - part II
1h30'
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12:30 - 14:00
Lunch brak
Location: Adriatico Guest House Giambiagi Lecture Hall - 12:30 Lunch brak 1h30'
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14:00 - 15:30
Symmetries of turbulent state - part I
Location: Adriatico Guest House Giambiagi Lecture Hall -
14:00
Symmetries of turbulent state - part I
1h30'
Speaker: Gregory FALKOVICH (The Weizmann Inst., Complex Systems, Rehovot, Israel) Material: lecture notes
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14:00
Symmetries of turbulent state - part I
1h30'
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15:30 - 16:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall - 15:30 Coffee break 30'
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16:00 - 17:30
Quantum gravity: KPZ, SLE, conformal welding and scaling limits - part I
Location: Adriatico Guest House Giambiagi Lecture Hall -
16:00
Quantum gravity: KPZ, SLE, conformal welding and scaling limits - part I
1h30'
Speaker: Scott SHEFFIELD (Courant Institute, Math. Science, New York Univ., U.S.A.) Material: lecture notes
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16:00
Quantum gravity: KPZ, SLE, conformal welding and scaling limits - part I
1h30'
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19:00 - 21:00
Welcome Reception at Adriatico Terrace
Location: Adriatico Guest House Giambiagi Lecture Hall - 19:00 Welcome Reception at Adriatico Terrace 2h0'
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09:00 - 10:30
Random conformal geometry and quantum gravity - part I
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09:00 - 10:30
Introduction to conformally invariant processes - part III
Location: Adriatico Guest House Giambiagi Lecture Hall -
09:00
Introduction to conformally invariant processes - part III
1h30'
Speaker: Gregory F. LAWLER (Univ. Chicago, Dept. Maths, Chicago, U.S.A.)
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09:00
Introduction to conformally invariant processes - part III
1h30'
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10:30 - 11:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall - 10:30 Coffee break 30'
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11:00 - 12:30
Random conformal geometry and quantum gravity - part II
Location: Adriatico Guest House Giambiagi Lecture Hall -
11:00
Random conformal geometry and quantum gravity - part II
1h30'
Speaker: Bertrand DUPLANTIER (CEN, Saclay, Physique Theorique, Gif-sur-Yvette, France)
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11:00
Random conformal geometry and quantum gravity - part II
1h30'
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12:30 - 14:00
Lunch break
Location: Adriatico Guest House Giambiagi Lecture Hall - 12:30 Lunch break 1h30'
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14:00 - 15:30
Quantum gravity: KPZ, SLE, conformal welding and scaling limits - part II
Location: Adriatico Guest House Giambiagi Lecture Hall -
14:00
Quantum gravity: KPZ, SLE, conformal welding and scaling limits - part II
1h30'
Speaker: Scott SHEFFIELD (Courant Institute, Math. Science, New York Univ., U.S.A.)
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14:00
Quantum gravity: KPZ, SLE, conformal welding and scaling limits - part II
1h30'
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15:30 - 16:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall - 15:30 Coffee break 30'
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16:00 - 17:30
Some discrete models of growth and interfaces, and their continuum counterpart - part III
Location: Adriatico Guest House Giambiagi Lecture Hall -
16:00
Some discrete models of growth and interfaces, and their continuum counterpart - part III
1h30'
Speaker: Michel BAUER (CEA Saclay, DSM IPhT, Gif-sur-Yvette, France) Material: lecture notes
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16:00
Some discrete models of growth and interfaces, and their continuum counterpart - part III
1h30'
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09:00 - 10:30
Introduction to conformally invariant processes - part III
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09:00 - 10:30
Random conformal geometry and quantum gravity - part III
Location: Adriatico Guest House Giambiagi Lecture Hall -
09:00
Random conformal geometry and quantum gravity - part III
1h30'
Speaker: Bertrand DUPLANTIER (CEN Saclay, Physique Theorique, Gif-sur-Yvette, France)
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09:00
Random conformal geometry and quantum gravity - part III
1h30'
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10:30 - 11:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall - 10:30 Coffee break 30'
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11:00 - 12:30
Symmetries of turbulent state- part II
Location: Adriatico Guest House Giambiagi Lecture Hall -
11:00
Symmetries of turbulent state- part II
1h30'
Speaker: Gregory FALKOVICH (The Weizmann Inst., Complex Systems, Rehovot, Israel) Material: lecture notes
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11:00
Symmetries of turbulent state- part II
1h30'
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12:30 - 14:00
Lunch break
Location: Adriatico Guest House Giambiagi Lecture Hall - 12:30 Lunch break 1h30'
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14:00 - 15:30
Quantum gravity: KPZ, SLE, conformal welding and scaling limits - part III
Location: Adriatico Guest House Giambiagi Lecture Hall -
14:00
Quantum gravity: KPZ, SLE, conformal welding and scaling limits - part III
1h30'
Speaker: Scott SHEFFIELD (Courant Institute, Math. Science, New York Univ., U.S.A.)
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14:00
Quantum gravity: KPZ, SLE, conformal welding and scaling limits - part III
1h30'
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15:30 - 16:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall - 15:30 Coffee break 30'
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16:00 - 17:30
Introduction to conformally invariant processes - part IV
Location: Adriatico Guest House Giambiagi Lecture Hall -
16:00
Introduction to conformally invariant processes - part IV
1h30'
Speaker: Gregory F. LAWLER (Univ. Chicago, Dept. Maths, Chicago, U.S.A.)
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16:00
Introduction to conformally invariant processes - part IV
1h30'
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09:00 - 10:30
Random conformal geometry and quantum gravity - part III
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09:00 - 10:30
Quantum gravity: KPZ, SLE, conformal welding and scaling limits - part IV
Location: Adriatico Guest House Giambiagi Lecture Hall -
09:00
Quantum gravity: KPZ, SLE, conformal welding and scaling limits - part IV
1h30'
Speaker: Scott SHEFFIELD (Courant Institute, Math. Science, New York Univ., U.S.A.)
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09:00
Quantum gravity: KPZ, SLE, conformal welding and scaling limits - part IV
1h30'
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10:30 - 11:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall - 10:30 Coffee break 30'
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11:00 - 12:30
Random conformal geometry and quantum gravity - part IV
Location: Adriatico Guest House Giambiagi Lecture Hall -
11:00
Random conformal geometry and quantum gravity - part IV
1h30'
Speaker: Bertrand DUPLANTIER (CEN Saclay, Physique Theorique, Gif-sur-Yvette, France)
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11:00
Random conformal geometry and quantum gravity - part IV
1h30'
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12:30 - 14:00
Lunch break
Location: Adriatico Guest House Giambiagi Lecture Hall - 12:30 Lunch break 1h30'
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14:00 - 15:30
Symmetries of turbulent state - part III
Location: Adriatico Guest House Giambiagi Lecture Hall -
14:00
Symmetries of turbulent state - part III
1h30'
Speaker: Gregory FALKOVICH (The Weizmann Institute, Complex Systems, Rehovot, Israel) Material: lecture notes
-
14:00
Symmetries of turbulent state - part III
1h30'
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09:00 - 10:30
Quantum gravity: KPZ, SLE, conformal welding and scaling limits - part IV
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09:00 - 10:30
Conformally invariant random simple curves on Riemann surfaces - part I
Location: Adriatico Guest House Giambiagi Lecture Hall -
09:00
Conformally invariant random simple curves on Riemann surfaces - part I
1h30'
Speaker: Robert BAUER (Univ. Illinois at Urbana-Champaign, Mathematics, Urbana IL, U.S.A.) Material: lecture notes
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09:00
Conformally invariant random simple curves on Riemann surfaces - part I
1h30'
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10:30 - 11:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall - 10:30 Coffee break 30'
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11:00 - 12:30
From critical to off-critical interfaces - part I
Location: Adriatico Guest House Giambiagi Lecture Hall -
11:00
From critical to off-critical interfaces - part I
1h30'
Speaker: Denis BERNARD (ENS, Lab. Physique Theorique, Paris, France) Material: Background Information Denis Bernard.pdf lecture notes
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11:00
From critical to off-critical interfaces - part I
1h30'
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12:30 - 14:00
Lunch break
Location: Adriatico Guest House Giambiagi Lecture Hall - 12:30 Lunch break 1h30'
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14:00 - 15:30
Stochastic processes in turbulent transport - part I
Location: Adriatico Guest House Giambiagi Lecture Hall -
14:00
Stochastic processes in turbulent transport - part I
1h30'
Speaker: Krzysztof GAWEDZKI (ENS Lyon, Physique Theorique Enslapp, Lyon, France) Material: lecture notes
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14:00
Stochastic processes in turbulent transport - part I
1h30'
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09:00 - 10:30
Conformally invariant random simple curves on Riemann surfaces - part I
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09:00 - 10:30
Conformal invariance in the 2D Ising model - part I
Location: Adriatico Guest House Giambiagi Lecture Hall -
09:00
Conformal invariance in the 2D Ising model - part I
1h30'
Speaker: Stanislav SMIRNOV (Univ. Geneve, Maths, Geneve, Switzerland) Material: lecture notes
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09:00
Conformal invariance in the 2D Ising model - part I
1h30'
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10:30 - 11:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall - 10:30 Coffee break 30'
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11:00 - 12:30
Conformally invariant random simple curves on Riemann surfaces - part II
Location: Adriatico Guest House Giambiagi Lecture Hall -
11:00
Conformally invariant random simple curves on Riemann surfaces - part II
1h30'
Speaker: Robert BAUER (Univ. Illinois at Urbana-Champaign, Mathematics, Urbana IL, U.S.A.) Material: lecture notes
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11:00
Conformally invariant random simple curves on Riemann surfaces - part II
1h30'
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12:30 - 14:00
Lunch break
Location: Adriatico Guest House Giambiagi Lecture Hall - 12:30 Lunch break 1h30'
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14:00 - 15:30
From critical to off-critical interfaces - part II
Location: Adriatico Guest House Giambiagi Lecture Hall -
14:00
From critical to off-critical interfaces - part II
1h30'
Speaker: Denis BERNARD (ENS, Lab. Physique Theorique, Paris, France) Material: Background Information Denis Bernard.pdf lecture notes
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14:00
From critical to off-critical interfaces - part II
1h30'
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15:30 - 16:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall - 15:30 Coffee break 30'
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16:00 - 17:30
Poster Session
Location: Adriatico Guest House Giambiagi Lecture Hall -
16:00
Poster Session
1h30'
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16:00
Poster Session
1h30'
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19:00 - 21:00
Reception at Adriatico Terrace
Location: Adriatico Guest House Giambiagi Lecture Hall - 19:00 Reception at Adriatico Terrace 2h0'
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09:00 - 10:30
Conformal invariance in the 2D Ising model - part I
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09:00 - 10:30
Stochastic processes in turbulent transport - part II
Location: Adriatico Guest House Giambiagi Lecture Hall -
09:00
Stochastic processes in turbulent transport - part II
1h30'
Speaker: Krzysztof GAWEDZKI (ENS Lyon, Physique Theorique Enslapp, Lyon, France) Material: lecture notes
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09:00
Stochastic processes in turbulent transport - part II
1h30'
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10:30 - 11:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall - 10:30 Coffee break 30'
-
11:00 - 12:30
From critical to off-critical interfaces - part III
Location: Adriatico Guest House Giambiagi Lecture Hall -
11:00
From critical to off-critical interfaces - part III
1h30'
Speaker: Denis BERNARD (ENS, Lab. Physique Theorique, Paris, France) Material: Background Information Denis Bernard.pdf lecture notes
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11:00
From critical to off-critical interfaces - part III
1h30'
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12:30 - 14:00
Lunch break
Location: Adriatico Guest House Giambiagi Lecture Hall - 12:30 Lunch break 1h30'
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14:00 - 15:30
Conformal invariance in the 2D Ising model - part II
Location: Adriatico Guest House Giambiagi Lecture Hall -
14:00
Conformal invariance in the 2D Ising model - part II
1h30'
Speaker: Stanislav SMIRNOV (Univ. Geneve, Maths, Geneve, Switzerland) Material: lecture notes
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14:00
Conformal invariance in the 2D Ising model - part II
1h30'
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09:00 - 10:30
Stochastic processes in turbulent transport - part II
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09:00 - 10:30
Conformal invariance in the 2D Ising model - part III
Location: Adriatico Guest House Giambiagi Lecture Hall -
09:00
Conformal invariance in the 2D Ising model - part III
1h30'
Speaker: Stanislav SMIRNOV (Univ. Geneve, Maths, Geneve, Switzerland) Material: lecture notes
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09:00
Conformal invariance in the 2D Ising model - part III
1h30'
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10:30 - 11:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall - 10:30 Coffee break 30'
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11:00 - 12:30
Conformally invariant random simple curves on Riemann surfaces - part III
Location: Adriatico Guest House Giambiagi Lecture Hall -
11:00
Conformally invariant random simple curves on Riemann surfaces - part III
1h30'
Speaker: Robert BAUER (Univ. Illinois at Urbana-Champaign, Mathematics, Urbana IL, U.S.A.) Material: lecture notes
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11:00
Conformally invariant random simple curves on Riemann surfaces - part III
1h30'
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12:30 - 14:00
Lunch break
Location: Adriatico Guest House Giambiagi Lecture Hall - 12:30 Lunch break 1h30'
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14:00 - 14:45
SEMINAR: Correlated tunneling and the instability of the fractional quantum Hall edge
Location: Adriatico Guest House Giambiagi Lecture Hall -
14:00
SEMINAR: Correlated tunneling and the instability of the fractional quantum Hall edge
45'
Speaker: Oded AGAM (Racah Inst. Physics, The Hebrew Univ., Jerusalem, Israel)
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14:00
SEMINAR: Correlated tunneling and the instability of the fractional quantum Hall edge
45'
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09:00 - 10:30
Conformal invariance in the 2D Ising model - part III
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09:00 - 09:45
SEMINAR: Exploration processes in the plane and stochastic Loewner evolutions
Location: Adriatico Guest House Giambiagi Lecture Hall -
09:00
SEMINAR: Exploration processes in the plane and stochastic Loewner evolutions
45'
Speaker: Antonio CELANI (Inst. Pasteur, UP Genetique in Silico, Paris, France)
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09:00
SEMINAR: Exploration processes in the plane and stochastic Loewner evolutions
45'
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09:45 - 10:30
SEMINAR: Domain walls in Random Potts
Location: Adriatico Guest House Giambiagi Lecture Hall -
09:45
SEMINAR: Domain walls in Random Potts
45'
Speaker: Kay WIESE (ENS, Lab. Physique Theorique, Paris, France) Material: lecture notes
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09:45
SEMINAR: Domain walls in Random Potts
45'
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10:30 - 11:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall - 10:30 Coffee break 30'
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11:00 - 12:30
Stochastic processes in turbulent transport - part III
Location: Adriatico Guest House Giambiagi Lecture Hall -
11:00
Stochastic processes in turbulent transport - part III
1h30'
Speaker: Krzysztof GAWEDZKI (ENS Lyon, Physique Theorique Enslapp, Lyon, France) Material: lecture notes
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11:00
Stochastic processes in turbulent transport - part III
1h30'
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12:30 - 13:00
Closing Remarks
Location: Adriatico Guest House Giambiagi Lecture Hall -
12:30
Closing Remarks
30'
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12:30
Closing Remarks
30'
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09:00 - 09:45
SEMINAR: Exploration processes in the plane and stochastic Loewner evolutions