Algebra, Geometry and Physics: a conference in honour of Maxim Kontsevich

23 juin 2014, 09:00 → 27 juin 2014, 18:15 Europe/Paris

Marilyn and James Simons Conference Centre (IHES)

Holder of the AXA-IHÉS Chair of Mathematics

Certainly, geometry in the 21st century with physical application, will involve the study of new kinds of objects with categorical structures playing a primordial role.
Maxim Kontsevich has been a force of nature in creating these new categorical structures in the last 20 years.
The goal of this conference is to celebrate his contributions to Mathematics and Physics.
This meeting­ will contribute to disseminate results on­ a variety of subjects and will ­serve a perfect opportunity for young scientists to get involved in top research. ­

Invited speakers

Mohammed ABOUZAID (Columbia Univ., New York USA)
Denis AUROUX (U.C. Berkeley, USA)
Tom BRIDGELAND (Univ. of Sheffield, UK)
Alain CONNES (IHÉS-Collège de France, Paris, France)
Kevin COSTELLO (Northwestern Univ., Evanston, USA)
Emanuel DIACONESCU (Univ. of Alberta, Canada)
Simon DONALDSON (Simons Center for Geometry and Physics, Stony Brook, USA)
Alexander EFIMOV (Steklov Mathematical Institute, RAS, Moscow, Russia)
Yakov ELIASHBERG (Stanford Univ., USA)
Kenji FUKAYA (Simons Center for Geometry and Physics, Stony Brook, USA)
Alexander GONCHAROV (Yale Univ., New Haven, USA)
Sergei GUKOV (Caltech, Pasadena, USA)
Mikhail KAPRANOV (Kavli Institute for the Physics and Mathematics of the Universe (WPI), Tokyo)
Anton KAPUSTIN­  (Caltech, Pasadena, USA)
François LOESER (Univ. Pierre-et-Marie-Curie and IHÉS, France)
Yuri MANIN (MPIM ­Bonn, Germany)
Nikita NEKRASOV (Simons Center for Geometry and Physics, Stony Brook, USA)
Tony PANTEV (Univ. of Pennsylvania, Philadelphia, USA)
Graeme SEGAL (Univ. of Oxford, UK)
Paul SEIDEL  (MIT, Cambridge, USA)
Carlos SIMPSON (CNRS-Univ. de Nice, France)
Yan SOIBELMAN (Kansas State Univ., Manhattan, USA)
Richard THOMAS (Imperial College London, UK)
Bertrand TOËN (CNRS-Univ. de Montpellier 2, France)
Yuri TSCHINKEL (Courant Institute & Simons Foundation, New York, ­USA)
Claire VOISIN (CNRS-École Polytechnique, Palaiseau, France)
Thomas WILLWACHER (ETH Zürich, Switzerland)
Shing-Tung YAU (Chinese Univ. of  Hong Kong,  China and Harvard Univ., USA)
Don ZAGIER (Collège de France, Paris and MPIM Bonn, Germany)
Anton ZORICH (Univ. Paris-Diderot, France)

 

With the support of the Clay Mathematics Institute and the FMJH

      

ConfMK50_ProgResumes.pdf

Abstracts resumes-1.pdf

Acces map https://goo.gl/maps/Ci8wj

List of participants ListeParticipWeb.pdf

Poster affiche_kontsevich.pdf

lundi 23 juin

Lundi matin

09:00 Registration and Welcome coffee

1 Welcome message from the IHES Director

2 Yuri MANIN

Big Bang, Blow Up, and Modular Curves: Algebraic Geometry of Cyclic Cosmology" (joint with M. Marcolli)

10:30 Coffee break

3 Yuri TSCHINKEL

On the arithmetic of K3 surfaces

4 Nikita NEKRASOV

Non-perturbative Dyson-Schwinger equations and novel symmetries of quantum field theory

13:00 Buffet lunch

Buffet-lunch will be served to every participant who has registered for lunch

Lundi après-midi

5 Mikhail KAPRANOV

Algebra of the infrared and secondary polytopes

6 Sergei GUKOV

Fivebranes and 4-manifolds

16:45 Coffee break

7 Emanuel DIACONESCU

Donaldson-Thomas invariants and character varieties

mardi 24 juin

Mardi Matin

09:00 Welcome coffee

8 Yakov ELIASHBERG

Limits of Symplectic Topology

10:30 Coffee break

9 Kevin COSTELLO

A twisted form of the ADS/CFT correspondence

10 Graeme SEGAL

Wick rotation and the positivity of energy in quantum field theory

13:00 Buffet lunch

Mardi après-midi

11 Mohammed ABOUZAID

Family Floer cohomology and mirror symmetry

12 Anton KAPUSTIN

Higher Symmetry, TQFT, and Gapped Phases of Matter

16:45 Coffee break

13 Thomas WILLWACHER

Recent progress and open problems in graph cohomology

mercredi 25 juin

Mercredi matin

09:00 Welcome coffee

14 Kenji FUKAYA

Can one use virtual fundamental chain in (topological) quantum field theory ?

10:30 Coffee break

15 Paul SEIDEL

Lefschetz pencils and noncommutative geometry

16 Simon DONALDSON

The Ding functional, Berndtsson convexity and moment maps

13:00 Buffet-lunch

Mercredi après midi

17 Claire VOISIN

Universal Chow group of 0-cycles and stable rationality

18 Tom BRIDGELAND

Stability structures on Calabi-Yau algebras

16:45 Coffee break

19 Alexander EFIMOV

Relative derived categories and matrix factorizations

jeudi 26 juin

Jeudi Matin

09:00 Welcome coffee

20 Shing-Tung YAU

Non-Kähler Calabi-Yau Mirror Symmetry and Symplectic Structures

10:30 Coffee break

21 Richard THOMAS

The Katz-Klemm-Vafa formula

22 Carlos SIMPSON

An overview of the structure at infinity of representation spaces

13:00 Buffet

Jeudi Après Midi

23 Alexander GONCHAROV

Quantum Hodge field theory

24 Anton ZORICH

Lyapunov exponents of the Hodge bundle, volumes of moduli spaces, and diffusion in periodic billiards

16:45 Coffee break

25 Denis AUROUX

Towards homological mirror symmetry for affine varieties

26 Eric CHANEY

Remarks by Eric Chaney Chief economist at AXA

19:00 Cocktail

vendredi 27 juin

Vendredi Matin

09:00 Welcome coffee

27 Alain CONNES

The Arithmetic Site

10:30 Coffee break

28 Don ZAGIER

Partitions, quasimodular forms, and Siegel-Veech constants

29 François LOESER

Motivic curve counting

13:00 Buffet-lunch

Vendredi après-midi

30 Bertrand TOËN

Deformation quantization and derived algebraic geometry

31 Yan SOIBELMAN

Cohomological Hall algebra and its representations

16:45 Coffee break

32 Tony PANTEV

Derived foliations and shifted potentials