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International workshop "Relation of String Theory to Gauge Theories and Moduli Problems of Branes"
(September 10–14, 2012, Steklov Mathematical Institute of RAS, Moscow)

This is the first workshop in a series that has the purpose to bring together mathematicians working in Algebraic Geometry, Homological Algebra and Number Theory and physicists studying modern theories aimed at understanding the elementary particles that compose our Universe. We believe that mathematical community needs to be more familiar with ideas and problems encountered by Particle Physics and String Theory, while physicists can get profit from advanced mathematical theories and viewpoints of mathematicians.

The first workshop is devoted to the aspects of interrelations of String Theory to Gauge Theories and comparing of physicists' and mathematicians' viewpoints on branes in various aspects.

Website: https://mostok.mi.ras.ru

Organizers
Bondal Alexey Igorevich
Gorchinskiy Sergey Olegovich
Hori Kentaro

Institutions
Kavli Institute for the Physics and Mathematics of the Universe
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Laboratory of algebraic geometry and its applications, National Research University "Higher School of Economics" (HSE), Moscow
Institute of Fundamental Science, Moscow


International workshop "Relation of String Theory to Gauge Theories and Moduli Problems of Branes", Moscow, September 10–14, 2012

September 10, 2012 (Mon)
1. Introduction to string theory and its relation to gauge theories. Part I
Kentaro Hori
September 10, 2012 10:30–11:30, Moscow, Steklov Mathematical Institute of RAS
Kentaro Hori
  
2. Introduction to string theory and its relation to gauge theories. Part II
Kentaro Hori
September 10, 2012 11:50–12:50, Moscow, Steklov Mathematical Institute of RAS
Kentaro Hori
  
3. Particle physics and geometric data for string compactification
Taizan Watari
September 10, 2012 14:00–15:00, Moscow, Steklov Mathematical Institute of RAS
Taizan Watari
  
4. Homotopy finiteness of the derived categories of coherent sheaves
A. I. Efimov
September 10, 2012 15:00–16:00, Moscow, Steklov Mathematical Institute of RAS
A. I. Efimov
  
5. Bridgeland stability conditions and birational geometry of moduli spaces
A. Bayer
September 10, 2012 16:10–17:10, Moscow, Steklov Mathematical Institute of RAS
A. Bayer
  

September 11, 2012 (Tue)
6. How to understand masses of elementary particles
Taizan Watari
September 11, 2012 10:30–10:30, Moscow, Steklov Mathematical Institute of RAS
Taizan Watari
  
7. Introduction to Gauged Linear Sigma Models
Mauricio Romo
September 11, 2012 11:50–12:50, Moscow, Steklov Mathematical Institute of RAS
Mauricio Romo
  
8. Prediction on derived equivalences from linear sigma models
Kentaro Hori
September 11, 2012 14:00–15:00, Moscow, Steklov Mathematical Institute of RAS
Kentaro Hori
  
9. Homological projective duality
A. G. Kuznetsov
September 11, 2012 15:10–16:10, Moscow, Steklov Mathematical Institute of RAS
A. G. Kuznetsov
  
10. Minimal Lefschetz decompositions for Grassmannians
A. Fonarev
September 11, 2012 16:30–17:30, Moscow, Steklov Mathematical Institute of RAS
A. Fonarev
  

September 12, 2012 (Wed)
11. Two-sphere partition functions and Gromov-Witten invariants
Mauricio Romo
September 12, 2012 10:30–11:30, Moscow, Steklov Mathematical Institute of RAS
Mauricio Romo
  
12. Quiver gauge theories and Calabi-Yau algebras
Richard Eager
September 12, 2012 11:50–12:50, Moscow, Steklov Mathematical Institute of RAS
Richard Eager
  

September 13, 2012 (Thu)
13. $N=2$ Supersymmetric Field Theories, and Quivers, I
Michele Del Zotto
September 13, 2012 10:30–11:30, Moscow, Steklov Mathematical Institute of RAS
Michele Del Zotto
  
14. $N=2$ Supersymmetric Field Theories, and Quivers, II
Michele Del Zotto
September 13, 2012 11:50–12:50, Moscow, Steklov Mathematical Institute of RAS
Michele Del Zotto
  
15. Bogomolov-Gieseker type inequality and OSV Conjecture, I
Yukinobu Toda
September 13, 2012 14:00–15:00, Moscow, Steklov Mathematical Institute of RAS
Yukinobu Toda
  
16. Bogomolov-Gieseker type inequality and OSV Conjecture, II
Yukinobu Toda
September 13, 2012 15:10–16:10, Moscow, Steklov Mathematical Institute of RAS
Yukinobu Toda
  
17. Derived categories of Burniat surfaces and phantoms
D. O. Orlov
September 13, 2012 16:30–17:30, Moscow, Steklov Mathematical Institute of RAS
D. O. Orlov
  

September 14, 2012 (Fri)
18. Cyclic homology and the superconformal index
Richard Eager
September 14, 2012 10:30–11:30, Moscow, Steklov Mathematical Institute of RAS
Richard Eager
  
19. Einstein and Yang-Mills equations on schemes from String Theory
A. S. Losev
September 14, 2012 11:50–12:50, Moscow, Steklov Mathematical Institute of RAS
A. S. Losev
  
20. Exceptional collections of four line bundles on Beauville's quotient-product surface
S. S. Galkin
September 14, 2012 14:00–15:00, Moscow, Steklov Mathematical Institute of RAS
S. S. Galkin
  
21. Stability Hodge structures and phantoms
Ludmil Katzarkov
September 14, 2012 15:10–16:10, Moscow, Steklov Mathematical Institute of RAS
Ludmil Katzarkov
  
22. Partition functions associated with cancellative monoids
Kyoji Saito
September 14, 2012 16:30–17:30, Moscow, Steklov Mathematical Institute of RAS
Kyoji Saito
  
 
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