Non-commutative, derived and homotopical methods in geometry

University of Antwerp

September 19–24, 2016

Schedule

A printable version of the schedule.

Monday, September 19th

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

Tuesday, September 20th

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)

Wednesday, September 21th

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

Thursday, September 22th

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)

Friday, September 23th

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)

Saturday, September 24th

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