UCSD Algebraic Geometry Seminar, Spring 2017

Meetings are held on Fridays 4:00-5:00, Location APM 5829. A pre-talk is held 3:30-4:00.

April 21 12PM-1PM APM 6402 Linquan Ma (University of Utah)
Title: Homological conjectures and big Cohen-Macaulay algebras
Abstract: I will talk about joint work with Raymond Heitmann that gives a construction of big Cohen-Macaulay algebra in mixed characteristics following the recent breakthroughs on the direct summand conjecture by Andr\'{e} and Bhatt. In fact, we prove a weakly functorial version for certain surjective ring homomorphism that leads to the solution of the vanishing conjecture for maps of Tor in mixed characteristic. Our work also gives a simplified proof of the direct summand conjecture, and that direct summand of regular rings are Cohen-Macaulay.
May 5 TBA
Title: TBA
Abstract: TBA
May 12 Yefeng Shen (Stanford)
Title: LG/CY correspondence in dimension one
I will talk about Gromov-Witten theory of Calabi-Yau one-folds and Fan-Jarvis-Ruan-Witten theory of counterpart Landau-Ginzburg models. The GW invariants and FJRW invariants are enumerative counting of stable maps and sections of certain orbifold line bundles. We prove these invariants are coefficients of expansions of appropriate quasi-modular forms at different points, thus can be related by Cayley transformations. Abstract:
May 19-21 Geometry of Moduli Spaces (Special Conference)

Conference home page
May 26 Daniel Smith (UCSD)
Title: Some techniques for formal schemes
Abstract: I will discuss recent approaches to working with formal schemes, including details from both proofs in my thesis and in the work of others.
June 2 TBA
Title: TBA
Abstract: TBA

For titles and abstracts, please see also the mathematics department calendar.

Organizers: Elham Izadi, James McKernan and Dragos Oprea

This seminar is supported in part by grants from the NSF. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

Past quarters: Fall 2013 , Winter 2014 , Spring 2014 .

The design of this webpage is copied shamelessly from the MIT Number Theory seminar site. Contact Cal Spicer at cwspicer@ucsd.edu about problems with the website or posters.