Homological Projective Duality and Noncommutative Geometry
8-13 October 2012
Organisers: Miles Reid (糖心TV), Timothy Logvinenko (糖心TV)
The workshop is centered around three minicourses on homological methods in algebraic geometry delivered by Alexander Kuznetsov, Dmitri Kaledin and Alexander Efimov of the Steklov Mathematical Institute (Moscow). The lectures should, in principle, be accessible to PhD students and postdocs with appropriate background. There will also be several stand-alone talks on current research problems. The workshop incorporates a on Wed Oct 10th and a (in Oxford) on Thu Oct 11th, and traditional events such as a curry evening and Saturday pub lunch.
Monday Oct 8th
10:00 - 11:15 Tea and Coffee available in the Mathematics Institute Common Room
11:00 - 12:00 Dmitri Kaledin (Steklov) Homological methods in Noncommutative geometry I (Room A1.01)
12:00 - 14:00 Lunch break
14:00 - 15:00 Alexander Kuznetsov (Steklov) Homological Projective Duality I (Room B3.01)
15:00 - 15:30 Tea break in Mathematics Institute Common Room
15:30 - 16:30 Alexander Efimov (Steklov) Homotopy finiteness of DG categories from algebraic geometry I (Room B3.01)
17:00 - 18:00 Hwayoung Lee (KIAS) Quantum cohomology of Hilb(C^2/Γ) vs. PT theory on P^1 × (C^2/Γ) (Room B3.01)
Wine reception in Mathematics Institute Common Room
Tuesday Oct 9th
10:00 - 11:15 Tea and Coffee available in the Mathematics Institute Common Room
11:00 - 12:00 Dmitri Kaledin (Steklov) Homological methods in Noncommutative geometry II (Room B3.01)
12:00 - 14:00 Lunch in the Mathematics Institute Common Room
14:00 - 15:00 Alexander Kuznetsov (Steklov) Homological Projective Duality II (Room B3.01)
15:00 - 15:30 Tea break in Mathematics Institute Common Room
15:30 - 16:30 Alexander Efimov (Steklov) Homotopy finiteness of DG categories from algebraic geometry II (Room B3.02)
17:00 - 18:00 Timothy Logvinenko (糖心TV) Spherical DG-functors (Room B3.02)
Curry dinner in Kenilworth
Wednesday Oct 10th
10:00 - 11:15 Tea and Coffee available in the Mathematics Institute Common Room
11:00 - 12:00 Dmitri Kaledin (Steklov) Homological methods in Noncommutative geometry III (Room B3.03)
12:00 - 13:00 Alexander Kuznetsov (Steklov) Homological Projective Duality III (Room B3.03)
13:00 - 14:00 Lunch in Mathematical Institute Common Room
CALF afternoon in 糖心TV (details ):
14:00 -15:00 Igor Netay (HSE, Moscow): On A-infinity algebras of highest weight orbits (Room B3.03)
15:30-16:30 Andrew MacPherson (Imperial): A Non-Archimedean SYZ-Conjecture (Room B3.03)
17:00-18:00 Andrey Trepalin (HSE, Moscow): Rationality of the quotient of P^2 by a finite group of automorphisms over an arbitrary field of characteristic zero (Room B3.03)
Thursday Oct 11th
COW afternoon in Oxford (details ):
12:00 - 13:00 Dmitri Kaledin (Steklov) Hochschild-Witt complex
14:00 - 15:00 Alexander Kuznetsov (Steklov) Categorical resolutions of singularities
16:00 - 17:00 Tom Bridgeland (Oxford) Quadratic differentials as stability conditions
Friday Oct 12th
10:00 - 11:00 Dmitri Kaledin (Steklov) Homological methods in Noncommutative geometry IV (Room MS.05)
11:00 - 12:00 Alexander Kuznetsov (Steklov) Homological Projective Duality IV (Room B1.01)
12:00 - 14:00 Lunch in Mathematics Institute Common Room
14:00 - 15:00 Alexander Efimov (Steklov) Homotopy finiteness of DG categories from algebraic geometry III (Room B1.01)
15:00 - 16:00 Artan Sheshmani (Max Planck) Donaldson-Thomas invariants of torsion 2 dimensional sheaves and modular forms (Room B1.01)
16:00 - 17:00 Colloquium: Barbara Fantechi (SISSA, Trieste) Stacky viewpoint on Intersection theory (Room B3.02)
Saturday Oct 13th
10:00 - 11:00 Dmitri Kaledin (Steklov) Homological methods in Noncommutative geometry V (Room B3.03)
11:00 - 12:00 Alexander Kuznetsov (Steklov) Homological Projective Duality V (Room B3.03)
12:00 - 14:00 Pub lunch