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 farreaching 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 NonEquilibrium Growth Processes  (smr 1952)
Go to day


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'

08:30
Registration at Adriatico Guest House, lower level 1, outside Giambiagi Lecture Hall
1h30'

10:15  10:45
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall  10:15 Coffee break 30'

10:45  11:00
Opening
Location: Adriatico Guest House Giambiagi Lecture Hall 
10:45
Opening
15'

10:45
Opening
15'

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.)

11:00
Introduction to conformally invariant processes  part I
1h30'

12:30  14:00
Lunch break
Location: Adriatico Guest House Giambiagi Lecture Hall  12:30 Lunch break 1h30'

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.)

14:00
Introduction to conformally invariant processes  part II
1h30'

15:30  16:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall  15:30 Coffee break 30'

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, GifsurYvette, France) Material: lecture notes

16:00
Some discrete models of growth and interfaces, and their continuum counterpart  part I
1h30'

08:30  10:00
Registration at Adriatico Guest House, lower level 1, outside Giambiagi Lecture Hall


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, GifsurYvette, France)

09:00
Random conformal geometry and quantum gravity  part I
1h30'

10:30  11:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall  10:30 Coffee break 30'

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, GifsurYvette, France) Material: lecture notes

11:00
Some discrete models of growth and interfaces, and their continuum counterpart  part II
1h30'

12:30  14:00
Lunch brak
Location: Adriatico Guest House Giambiagi Lecture Hall  12:30 Lunch brak 1h30'

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

14:00
Symmetries of turbulent state  part I
1h30'

15:30  16:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall  15:30 Coffee break 30'

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

16:00
Quantum gravity: KPZ, SLE, conformal welding and scaling limits  part I
1h30'

19:00  21:00
Welcome Reception at Adriatico Terrace
Location: Adriatico Guest House Giambiagi Lecture Hall  19:00 Welcome Reception at Adriatico Terrace 2h0'

09:00  10:30
Random conformal geometry and quantum gravity  part I


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.)

09:00
Introduction to conformally invariant processes  part III
1h30'

10:30  11:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall  10:30 Coffee break 30'

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, GifsurYvette, France)

11:00
Random conformal geometry and quantum gravity  part II
1h30'

12:30  14:00
Lunch break
Location: Adriatico Guest House Giambiagi Lecture Hall  12:30 Lunch break 1h30'

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.)

14:00
Quantum gravity: KPZ, SLE, conformal welding and scaling limits  part II
1h30'

15:30  16:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall  15:30 Coffee break 30'

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, GifsurYvette, France) Material: lecture notes

16:00
Some discrete models of growth and interfaces, and their continuum counterpart  part III
1h30'

09:00  10:30
Introduction to conformally invariant processes  part III


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, GifsurYvette, France)

09:00
Random conformal geometry and quantum gravity  part III
1h30'

10:30  11:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall  10:30 Coffee break 30'

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

11:00
Symmetries of turbulent state part II
1h30'

12:30  14:00
Lunch break
Location: Adriatico Guest House Giambiagi Lecture Hall  12:30 Lunch break 1h30'

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.)

14:00
Quantum gravity: KPZ, SLE, conformal welding and scaling limits  part III
1h30'

15:30  16:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall  15:30 Coffee break 30'

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.)

16:00
Introduction to conformally invariant processes  part IV
1h30'

09:00  10:30
Random conformal geometry and quantum gravity  part III


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.)

09:00
Quantum gravity: KPZ, SLE, conformal welding and scaling limits  part IV
1h30'

10:30  11:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall  10:30 Coffee break 30'

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, GifsurYvette, France)

11:00
Random conformal geometry and quantum gravity  part IV
1h30'

12:30  14:00
Lunch break
Location: Adriatico Guest House Giambiagi Lecture Hall  12:30 Lunch break 1h30'

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'

09:00  10:30
Quantum gravity: KPZ, SLE, conformal welding and scaling limits  part IV


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 UrbanaChampaign, Mathematics, Urbana IL, U.S.A.) Material: lecture notes

09:00
Conformally invariant random simple curves on Riemann surfaces  part I
1h30'

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 offcritical interfaces  part I
Location: Adriatico Guest House Giambiagi Lecture Hall 
11:00
From critical to offcritical interfaces  part I
1h30'
Speaker: Denis BERNARD (ENS, Lab. Physique Theorique, Paris, France) Material: Background Information Denis Bernard.pdf lecture notes

11:00
From critical to offcritical interfaces  part I
1h30'

12:30  14:00
Lunch break
Location: Adriatico Guest House Giambiagi Lecture Hall  12:30 Lunch break 1h30'

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

14:00
Stochastic processes in turbulent transport  part I
1h30'

09:00  10:30
Conformally invariant random simple curves on Riemann surfaces  part I


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

09:00
Conformal invariance in the 2D Ising model  part I
1h30'

10:30  11:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall  10:30 Coffee break 30'

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 UrbanaChampaign, Mathematics, Urbana IL, U.S.A.) Material: lecture notes

11:00
Conformally invariant random simple curves on Riemann surfaces  part II
1h30'

12:30  14:00
Lunch break
Location: Adriatico Guest House Giambiagi Lecture Hall  12:30 Lunch break 1h30'

14:00  15:30
From critical to offcritical interfaces  part II
Location: Adriatico Guest House Giambiagi Lecture Hall 
14:00
From critical to offcritical interfaces  part II
1h30'
Speaker: Denis BERNARD (ENS, Lab. Physique Theorique, Paris, France) Material: Background Information Denis Bernard.pdf lecture notes

14:00
From critical to offcritical interfaces  part II
1h30'

15:30  16:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall  15:30 Coffee break 30'

16:00  17:30
Poster Session
Location: Adriatico Guest House Giambiagi Lecture Hall 
16:00
Poster Session
1h30'

16:00
Poster Session
1h30'

19:00  21:00
Reception at Adriatico Terrace
Location: Adriatico Guest House Giambiagi Lecture Hall  19:00 Reception at Adriatico Terrace 2h0'

09:00  10:30
Conformal invariance in the 2D Ising model  part I


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

09:00
Stochastic processes in turbulent transport  part II
1h30'

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 offcritical interfaces  part III
Location: Adriatico Guest House Giambiagi Lecture Hall 
11:00
From critical to offcritical interfaces  part III
1h30'
Speaker: Denis BERNARD (ENS, Lab. Physique Theorique, Paris, France) Material: Background Information Denis Bernard.pdf lecture notes

11:00
From critical to offcritical interfaces  part III
1h30'

12:30  14:00
Lunch break
Location: Adriatico Guest House Giambiagi Lecture Hall  12:30 Lunch break 1h30'

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

14:00
Conformal invariance in the 2D Ising model  part II
1h30'

09:00  10:30
Stochastic processes in turbulent transport  part II


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

09:00
Conformal invariance in the 2D Ising model  part III
1h30'

10:30  11:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall  10:30 Coffee break 30'

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 UrbanaChampaign, Mathematics, Urbana IL, U.S.A.) Material: lecture notes

11:00
Conformally invariant random simple curves on Riemann surfaces  part III
1h30'

12:30  14:00
Lunch break
Location: Adriatico Guest House Giambiagi Lecture Hall  12:30 Lunch break 1h30'

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)

14:00
SEMINAR: Correlated tunneling and the instability of the fractional quantum Hall edge
45'

09:00  10:30
Conformal invariance in the 2D Ising model  part III


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)

09:00
SEMINAR: Exploration processes in the plane and stochastic Loewner evolutions
45'

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

09:45
SEMINAR: Domain walls in Random Potts
45'

10:30  11:00
Coffee break
Location: Adriatico Guest House Giambiagi Lecture Hall  10:30 Coffee break 30'

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

11:00
Stochastic processes in turbulent transport  part III
1h30'

12:30  13:00
Closing Remarks
Location: Adriatico Guest House Giambiagi Lecture Hall 
12:30
Closing Remarks
30'

12:30
Closing Remarks
30'

09:00  09:45
SEMINAR: Exploration processes in the plane and stochastic Loewner evolutions