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Description
Noncommutative geometry aims at studying, with a geometric approach, structures for which the algebra of regular functions on a manifold is substituted with a noncommutative algebra. Tools from functional analysis and operator algebras are used to construct, in a noncommutative framework, analogues of such things as homology, cohomology, K-theory and so on, which are typical of classical geometry. Among the most important models of noncommutative geometry there are those coming from quantum theories in diverse forms, starting with quantum mechanics and arriving to quantum field theories and quantum gravity. And there are applications to a variety of fields including number theory.

This workshop will be centred on a series of lectures by Alain Connes as final part of his usual course at the Collège de France, Parigi. There will also be a series of talks covering several aspects of noncommutative geometry, quantum groups, operator algebras and their applications in mathematics and physics.

The workshop is the final one for the Italian-French project GREFI-GENCO on Noncommutative Geometry.

Scientific committee:
Fabio Cipriani (Politecnico Milano)
Daniele Guido (Università Roma Tor vergata)
Giovanni Landi (Università Trieste)
Jean-Luc Sauvageot (CNRS, Paris-Diderot)
Georges Skandalis (Université Paris-Diderot)
Stéphane Vassout (Université Paris-Diderot)

Organizing committee:
Ludwik Dabrowski (SISSA)
Giovanni Landi (Università Trieste)
Fernando Rodriguez Villegas (ICTP)

Material

Noncommutative Geometry and Applications | (smr 3172)
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  • Monday, 27 February 2017
    • 13:30 - 21:00
      Location: Adriatico Guest House - Kastler Lecture Hall
      • 13:30 Registration formalities 30' ( Adriatico Guest House - (Lower Level 1) )
      • 14:00 Welcome address 5'
        Speaker: Fernando Rodriguez Villegas (ICTP)
      • 14:05 The Standard Model in Noncommutative Geometry and Morita equivalence 45'
        Speaker: D'Andrea Francesco (Università di Napoli Federico II)
        Material: Abstract
      • 14:50 Fourier integral operators on Lie groupoids 45'
        Speaker: Lescure Jean-Marie (Université Blaise Pascal/Clermont-Ferrand)
        Material: Abstract
      • 15:35 Coffe break 25' ( Adriatico Guest House - Cafeteria )
      • 16:00 Two nice Polish groups 45'
        Speaker: Carderi Alessandro (Technische Universitaet Dresden)
        Material: Abstract
      • 16:50 Crossed-products by locally compact groups and intermediate subfactors 45'
        Speaker: Brothier Arnaud (Vanderbilt University)
        Material: Abstract
  • Tuesday, 28 February 2017
    • 09:00 - 21:00
      Location: Adriatico Guest House - Kastler Lecture Hall
      • 09:00 Certain weak Hopf C*-algebras associated to modular categories of type A 45'
        Speaker: Pinzari Claudia (Università La Sapienza, Roma)
        Material: Abstract
      • 09:45 Coffe break 30' ( Adriatico Guest House - Cafeteria )
      • 10:15 Localized equivariant twisted cohomology 45'
        Speaker: Xu Ping (Penn State Universiy)
        Material: Abstract
      • 11:05 KK-theory with real coefficients and discrete group actions on C* algebras 45'
        Speaker: Azzali Sara (Universität Potsdam)
        Material: Abstract
      • 11:55 Spectral gap for full factors of type III and applications 45'
        Speaker: Houdayer Cyril (Université Paris Sud)
        Material: Abstract
      • 12:40 Lunch Break 1h20' ( Adriatico Guest House - Cafeteria )
      • 14:00 Fredholm modules and spectral triples associated with Dirichlet forms 45'
        Speaker: Sauvageot Jean-Luc (CNRS-Université Paris-Diderot)
      • 14:50 Spectral triples for noncommutative solenoidal spaces from self-coverings 45'
        Speaker: Isola Tommaso (Università di Roma Tor Vergata)
        Material: Abstract
      • 15:35 Coffe break 25'
      • 16:00 Coarse Algebras and the tangent groupoid 45'
        Speaker: Zenobi Vito Felice (Università La Sapienza, Roma)
        Material: Abstract
      • 17:00 Basic Notions Seminar - Quiver Moduli 1h0' ( Leonardo da Vinci Building - Budinich Lecture Hall )
        Speaker: Reineke Markus (Ruhr-Universitaet Bochum)
      • 19:00 Get-together Reception 2h0' ( Adriatico Guest House Cafeteria )
  • Wednesday, 1 March 2017
    • 09:00 - 22:00
      Location: Adriatico Guest House - Kastler Lecture Hall
      • 09:00 Weak signals of quantum spacetime from electromagnetic interactions of neutral dark matter 45'
        Speaker: Morsella Gerardo (Università di Roma Tor Vergata)
        Material: Abstract
      • 09:45 Coffe break 30' ( Adriatico Guest House - Cafeteria )
      • 10:15 Topological and non-linear facets of gauge theories. 45'
        Speaker: Ruzzi Giuseppe (Università di Roma Tor Vergata)
        Material: Abstract
      • 11:05 Free entropy dimension and the orthogonal free quantum groups 45'
        Speaker: Vergnioux Roland (Université de Caen)
        Material: Abstract
      • 11:55 Obstructions for Twist Star Products 45'
        Speaker: Weber Thomas (Università di Napoli Federico II)
        Material: Abstract
      • 12:40 Lunch Break 1h0' ( Adriatico Guest House - Cafeteria )
      • 13:40 Noncommutative products of Euclidean spaces. 45'
        Speaker: Dubois-Violette Michel (Université Paris Sud)
        Material: Abstract
      • 14:30 Spectral geometry 1h20'
        Speaker: Alain Connes (Collège de France and Ohio State University)
      • 15:50 Coffe break 20'
      • 16:30 Colloquium by Cumrun Vafa - Fundamental Lessons From String Theory 1h0' ( Leonardo Building - Budinich Lecture Hall )
        Material: announcement
  • Thursday, 2 March 2017
    • 09:00 - 17:30
      Location: Adriatico Guest House - Kastler Lecture Hall
      • 09:00 Factorization of Dirac operators in unbounded KK-theory 45'
        Speaker: Van Suijlekom Walter Daniel (Nijmegen University)
        Material: Abstract
      • 09:45 Coffe break 30' ( Adriatico Guest House - Cafeteria )
      • 10:15 Quantum Lattics Gauge Theories and their Continuum Limit, A Noncommutative Approach 45'
        Speaker: Arici Francesca (Radboud University, Nijmegen)
        Material: Abstract
      • 11:05 Conformal covariance and the split property 45'
        Speaker: Morinelli Vincenzo (Università di Roma Tor Vergata)
        Material: Abstract
      • 11:55 Free products in AQFT 45'
        Speaker: Tanimoto Yoh (Università di Roma Tor Vergata)
        Material: Abstract
      • 12:40 Lunch Break 1h20' ( Adriatico Guest House - Cafeteria )
      • 14:00 A class of differential quadratic algebras and their symmetries 45'
        Speaker: Pagani Chiara (University of Göttingen, Germany)
        Material: Abstract
      • 14:45 Coffe break 30' ( Adriatico Guest House - Cafeteria )
      • 15:15 Some remarks about random spectral triples 45'
        Speaker: Perrot Denis (Université de Lyon 1)
      • 16:30 Colloquium by Alain Connes - Irreducible Representations of the Higher Heisenberg Relation and Pati-Salam Model Coupled to Gravity 1h0' ( Leonardo Building - Budinich Lecture Hall )
        Material: announcement
  • Friday, 3 March 2017
    • 09:00 - 12:25
      Location: Adriatico Guest House - Kastler Lecture Hall
      • 09:00 Families of operators and the unbounded Kasparov product 45'
        Speaker: van den Dungen Koen (SISSA)
        Material: Abstract
      • 09:45 Coffe break 30' ( Adriatico Guest House - Cafeteria )
      • 10:15 Gauge transformation for twisted spectral triples 45'
        Speaker: Martinetti Pierre (DIMA, Università di Genova)
        Material: Abstract
      • 11:05 On time and the Quantum 1h20'
        Speaker: Alain Connes (Collège de France and Ohio State University)
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