Non-commutative, derived and homotopical methods in geometry

University of Antwerp

September 19–24, 2016

Schedule

A printable version of the schedule.

8:30–10:00: registration
10:05–10:10: opening
10:10–10:55: Tilting in the graded singularity category of a quasihomogeneous Gorenstein curve (notes); Ragnar-Olaf Buchweitz (University of Toronto)
11:00–11:25: coffee break
11:25–12:10: Affine actions from 3-fold flops, and tilings of the plane (notes); Michael Wemyss (University of Edinburgh) (slides)
12:10–14:00: lunch
14:00–14:45: Spaces of locally finite triangulated categories (notes); Fernando Muro (University of Sevilla)
14:55–15:40: Categorical measures for equivariant varieties (notes); Daniel Bergh (University of Bonn)
15:45–16:10: refreshments
16:10–16:55: Voevodsky's nilpotence conjecture via non-commutative geometry (notes); Goncalo Tabuada (Massachusetts Institute of Technology)
17:00–18:00: reception

9:15–10:00: Moduli spaces of $\mathrm{A}_\infty$-structures (notes); Alexander Polishchuk (University of Oregon)
10:10–10:55: A secondary Dold-Kan correspondence (notes); Tobias Dyckerhoff (Hausdorff Center for Mathematics)
11:00–11:25: coffee break
11:25–12:10: Local duality for representations of finite group schemes (notes); Henning Krause (University of Bielefeld)
12:10–14:00: lunch
14:00–14:45: Perverse schobers on surfaces via Ran categories (notes); Mikhail Kapranov (Yale University)
14:55–15:40: Semi-orthogonal decomposition for GIT quotient stacks (notes); Špela Špenko (University of Edinburgh)
15:45–16:10: refreshments
16:10–16:55: Homological projective duality for Pfaffians (notes); Ed Segal (Imperial College London)

9:15–10:00: Bloch's conductor formula and matrix factorizations (notes); Bertrand Toën (University of Toulouse)
10:10–10:55: Weak proregularity, weak stability and the non-commutative MGM equivalence; Amnon Yekutieli (Ben Gurion University) (slides)
11:00–11:25: coffee break
11:25–12:10: Matlis–Greenlees–May duality, covariant Serre–Grothendieck duality, and comodule–contramodule correspondence (notes); Leonid Positselski (Higher School of Economics)
12:10–14:00: lunch
18:00–...: conference dinner

9:15–10:00: Categorical joins and homological projective duality (notes); Alexander Kuznetsov (Steklov Mathematical Institute)
10:10–10:55: Bridgeland stability for semiorthogonal decompositions (notes); Paolo Stellari (University of Milan)
11:00–11:25: coffee break
11:25–12:10: Derived symplectic and Poisson geometry (notes); Damien Calaque (Université de Montpellier)
12:10–14:00: lunch
14:00–14:45: Non-commutative rational surfaces and subalgebras of Sklyanin algebras (notes); Toby Stafford (University of Manchester)
14:55–15:40: Non-commutative minimal surfaces (notes); Susan Sierra (University of Edinburgh)
15:45–16:10: refreshments
16:10–16:55: Compact moduli of marked non-commutative del Pezzo surfaces (notes); Shinnosuke Okawa (Osaka University)

9:15–10:00: How to glue derived categories (notes); Dmitry Kaledin (Steklov Mathematical Institute)
10:10–10:55: On some constructions of $\mathrm{L}_\infty$-algebras (notes); Yaël Frégier (University of Artois)
11:00–11:25: coffee break
11:25–12:10: Hermitian Yang–Mills in derived categories (notes); Jonathan Block (University of Pennsylvania)
12:10–14:00: lunch
14:00–14:45: Strong generation in derived categories of schemes (notes); Amnon Neeman (Australian National University)
14:55–15:40: Bounded derived categories, normalisations, and duality (notes); Greg Stevenson (University of Bielefeld)

9:15–10:00: Descent and equivalences in non-commutative geometry (notes); Tony Pantev (University of Pennsylvania)
10:10–10:55: An elementary LG model without projective mirrors (notes); Elizabeth Gasparim (Universidad Católica del Norte, Chile)
11:00–11:25: coffee break
11:25–12:10: Canonical local generators for birational morphisms (notes); Alexey Bondal (Steklov Mathematical Institute)
12:10–14:00: lunch