Invariants of Singularities in zero and positive characteristic

Department of Mathematics

at Stony Brook University

5^th Biannual Stony Brook Mini-School in Geometry

Friday, December 4, 2015

Over the past twenty years or so, some interesting but subtle new invariants of singularities have come to play an important role in birational geometry. Defined equivalently via conditions or integrability or combinatorial data encoded in a resolution of singularities, these invariants have turned out to govern many geometric, analytic and arithmetic questions. Recently, a surprising connection has emerged with algebraic constructions involving the Frobenius morphism in positive characteristics, and there remain many fascinating open questions about the connection. Aimed at graduate students and postdocs in geometry, the mini-school will present an introduction to this circle of ideas. No previous exposure to the topics will be presupposed.

Schedule

All lectures will take place at Simons Center for geometry and physics, room 102.

(deadline November 20).

Poster

10.00-11.15	Introduction to Singularities	Rob Lazarsfeld (Stony Brook)
11.15-11.45	Coffee break
11.45-1.00	Frobenius invariants of singularities	Kevin Tucker (UI Chicago)
1.00-2.15	Lunch
2.15-3.30	Connections between characteristic zero and p>0 invariants	Mircea Mustata (University of Michigan)
3.30-4.00	Coffee break
4.00-5.15	The analytic viewpoint	Dror Varolin (Stony Brook)

How to get here

Directions to Stony Brook and the location of Mathematics department.
If you are driving, please park in a faculty/staff lot, and obtain a visitor permit from the registration desk inside Simons Center.
LIRR train schedule. We recommend the train departing Penn Station at 7.49 am, with a connection at Jamaica at 8.18am, arriving at Stony Brook at 9.43am.

Reimbursements

Lunch and coffee will be provided and we will defray modest travel costs (trains or carpooling) for non-local participants.
To help us process reimbursement, please pool your expenses by asking one person in a group to buy round-trip tickets for everybody, and give us one receipt for reimbursement (with the names of the others), etc.
The lunch and coffee will be subsidized for local participants.
Organized by Radu Laza and Robert Lazarsfeld.

Stony Brook Algebraic Geometry portal

Supported by the NSF and Stony Brook Algebraic Geometry Fund