Program on Algebraic, Symplectic Geometry and Physics
Algebraic Geometry, Symplectic Geometry and Physics - weeks 1 and 2
August 20-31, 2007
Centre Interfacultaire Bernoulli
EPFL, Lausanne, Switzerland

Organizers: D. Auroux, L. Katzarkov, A. Kapustin, A. Okounkov, D. Orlov, D. Salamon


This event is part of the semester-long program on Algebraic, Symplectic Geometry and Physics held at Centre Bernoulli, EPFL, Lausanne, Switzerland. See the main program page for information about registration, accomodation, etc. Reminder: all participants (invited or not) should register. Please fill the registration form.

This event will be followed by a conference on symplectic geometry and physics at FIM, ETH Zurich, September 3-7.

Schedule

The morning sessions will consist of two 80-minute long talks (minicourses), separated by a coffee break. The afternoons will consist of informal discussions and a few talks (to be scheduled later).

All the talks will take place in room AAC 006 in building SG, near Centre Bernoulli (on the same level). See the campus map.

Monday August 20
9:30-10:50M. Kontsevich (IHES)
Motivic Donaldson-Thomas invariants I
11:30-12:50Y. Tschinkel (U. Göttingen and NYU)
Rational curves on algebraic varieties I
14:30Y. Soibelman (Kansas State)
Walls and wall-crossing
Tuesday August 21
9:30-10:50M. Kontsevich (IHES)
Motivic Donaldson-Thomas invariants II
11:30-12:50Y. Tschinkel (U. Göttingen and NYU)
Rational curves on algebraic varieties II
14:30A. Bondal
Enhancements and moduli of complexes on complex analytic manifolds
Wednesday August 22
9:30-10:50D. Auroux (MIT)
Lagrangian submanifolds and mirror symmetry I
11:30-12:50D. Orlov (RAS)
Derived categories of coherent sheaves
14:30F. Perroni (Univ. Zürich)
The cohomological crepant resolution conjecture for P(1,3,4,4)
Thursday August 23
9:30-10:50D. Auroux (MIT)
Lagrangian submanifolds and mirror symmetry II
11:30-12:50A. Kresch (Univ. Zürich)
Gromov-Witten theory I
Friday August 24
9:30-10:50A. Kresch (Univ. Zürich)
Gromov-Witten theory II
11:30-12:50D. Orlov (RAS)
Triangulated categories of singularities

Monday August 27
9:30-10:50M. Abouzaid (CMI and MIT)
Tropical Geometry and Homological Mirror Symmetry
11:30-12:50S. Shadrin (Univ. Zürich)
Tautological relations I: Givental theory
14:30D. Kaledin (RAS)
The category of planar trees
Tuesday August 28
9:30-10:50M. Abouzaid (CMI and MIT)
Equivalences of chain-level theories
11:30-12:50S. Shadrin (Univ. Zürich)
Tautological relations II: BCOV action
14:30A. Kuznetsov (RAS)
Categorical resolutions of singularities
Wednesday August 29
9:30-10:50A. Kapustin (Caltech)
Holomorphic field theory and electric-magnetic duality I
11:30-12:50A. Kapustin (Caltech)
Holomorphic field theory and electric-magnetic duality II
14:30K. Fukaya (Kyoto U.)
Mirror symmetry of abelian varieties revisited
Thursday August 30
9:30-10:50G. Mikhalkin (Univ. Toronto)
TBA
11:30-12:50G. Kerr
Vanishing cycles of irregular points I
14:30B. Siebert (Univ. Freiburg)
Introduction to affine geometry
Friday August 31
9:30-10:50G. Mikhalkin (Univ. Toronto)
TBA
11:30-12:50G. Kerr
Vanishing cycles of irregular points II
14:30Y. Ruan
Symplectic birational geometry

List of participants

Mohammed ABOUZAID (CMI, MIT)
Denis AUROUX (MIT) (week 1)
Fedor BOGOMOLOV (CIMS, NYU)
Alexei BONDAL (RAS)
Paul BRESSLER (week 2)
Kenji FUKAYA (Kyoto U.) (week 2)
Kentaro HORI (Toronto) (week 2)
Atanas ILIEV (RAS)
Dmitry KALEDIN (RAS) (week 2)
Ludmil KATZARKOV (U. Miami)
Gabriel KERR (U.Chicago)
Seonja KIM (Chungwoon Univ.) (week 1)
Maksim KONTSEVICH (IHES) (week 1)
Andrew KRESCH (Univ. Zurich) (week 1)
Alexander KUZNETSOV (RAS) (week 2)
François LALONDE (Montreal) (week 2)
Grigory MIKHALKIN (Toronto)
Kaoru ONO (Hokkaido U.) (week 2)
Andrei OKOUNKOV (Princeton) (week 2)
Dmitri ORLOV (RAS)
Andreas OTT (ETHZ)
Fabio PERRONI (Univ. Zurich)
Victor PRZHIYALKOVSKIY (RAS)
Yongbin RUAN (U. Michigan) (week 2)
Dietmar SALAMON (ETHZ)
Sergey SHADRIN (Univ. Zurich)
Bernd SIEBERT (Univ. Freiburg) (week 2)
Yan SOIBELMAN (Kansas State) (week 1)
Yuri TSCHINKEL (CIMS, NYU) (week 1)
Chris WOODWARD (Rutgers) (week 2)

Abstracts of the lectures