# Homological Projective Duality and Quantum Gauge Theory

Recently, there has been intriguing and fruitful interaction between the field of homological algebra and algebraic geometry (mathematics) and that of two-dimensional quantum gauge theories (physics).

Gauge theory provides mathematical predictions, such as equivalence of derived categories, and they are sometimes proven in algebraic geometry.

On the other hand, development in homological algebra leads to discovery in physics, such as new duality in quantum gauge theory as well as physical way to understand equivalence of categories.

This workshop will bring together some of the key players and will provide a place to promote the interaction further.

### Dates:

November 12 (Mon) - 16 (Fri), 2012

### Place:

Lecture Hall, Kavli IPMU, the University of Tokyo

### Program:

### Partial list of participants:

Matthew Ballard (U Vienna)

Alexey Bondal (Kavli IPMU)

Agnieszka Maria Bodzenta-Skibinska (U Warsaw)

Dragos Deliu (U Vienna)

Colin Diemer (U Vienna)

George Dimitrov (U Vienna)

Richard Eager (Kavli IPMU)

Alexander Efimov (Steklov Math. Inst.)

David Favero (U Vienna)

Sergey Galkin (U Vienna/Moscow Inst. of Physics and Technology)

Fabian Haiden (U Vienna)

Daniel Halpern-Leistner (UC Berkeley)

Simeon Hellerman (Kavli IPMU)

Kentaro Hori (Kavli IPMU)

Paul Horja (U Vienna)

Mehmet Umut Isik (U Vienna)

Ludmil Katzarkov (U Miami/Vienna)

Johanna Knapp (TU Vienna)

Alexander Kuznetsov (Steklov Mat. Inst.)

Changzheng Li (Kavli IPMU)

Todor Milanov (Kavli IPMU)

Alexander Noll (U Vienna)

Pranav Pandit (U Vienna)

Tony Pantev (U Penn)

Daniel Pomerleano (Kavli IPMU)

Victor Przhiyalkovskiy (Steklov Math. Inst.)

Alice Rizzardo (SISSA)

Mauricio Romo (Kavli IPMU)

Kyoji Saito (Kavli IPMU)

Emanuel Scheidegger (Freiburg)

Pawel Sosna (U Hamburg)

Eric Sharpe (Virginia Tech)

Yukinobu Toda (Kavli IPMU)

Valentin Tonita (Kavli IPMU)

Hokuto Uehara (Tokyo Metropolitan U)

Malte Wandel (U Hannover)

### Organizers:

Kentaro Hori (Kavli IPMU) and Ludmil Katzarkov (U Miami/Vienna)

### Supported by:

European Research Council - Generalized Mirror Symmetry,

MEXT, Japan (Kakenhi, 超弦理論のコンパクト化における数学と物理学のコラボレーション),

Ministry of Science of Russian Federation (Laboratory of Algebraic Geometry and its Applications)