UC Riverside Algebraic Geometry Seminar

UC Riverside Algebraic Geometry Seminar


The UC Riverside Algebraic Geometry Seminar meets on Tuesdays from 11:00am to 12:00pm. We usually meet in Skye 268, but the meetings are online via Zoom during Fall 2020. For more information you may contact Ziv Ran (ziv.ran@ucr.edu), Jose Gonzalez (jose.gonzalez@ucr.edu) or Patricio Gallardo (patricio.gallardocandela@ucr.edu). Please find our schedule below. For information about reimbursements for our visitors click here.



Fall 2020

 
Date Speaker Title Abstract
Tuesday, October 13, 2020
Start: 11:00 AM
Location: Online via Zoom (Please email the organizers if interested.)
Patricio Gallardo
UC Riverside
On wonderful blow-ups. Techniques for constructing good compactifications of an open set is one of the main problems within Algebraic Geometry. In this talk, I will describe a tool known as Wonderful Compactifications due to Li-Li which generalizes earlier work by De Concini-Procesi on hyperplane arrangements. Applications to moduli problems will be described as well.
Tuesday, October 20, 2020
Start: 11:00 AM
Location: Online via Zoom (Please email the organizers if interested.)
Patricio Gallardo
UC Riverside
On wonderful blow-ups (second part). We will continue describing the theory of wonderful blow-ups. A particular focus is given to applications within moduli theory as well as open problems.
Tuesday, October 27, 2020
Start: 11:00 AM
Location: Online via Zoom (Please email the organizers if interested.)
Benjamin Schmidt
Leibniz Universität Hannover
A curious moduli space on cubic threefolds. The intermediate Jacobian J(X) of a cubic threefold X was introduced by Clemens and Griffiths in 1972 to prove irrationality of cubic threefolds. It is an abelian variety that can be thought of as parametrizing degree zero cycles in dimension one up to rational equivalence. In this talk we will concentrate on its theta divisor ϴ. Clemens and Griffiths proved the so-called Torelli theorem for cubic threefolds that says that the pair (J(X),ϴ) determines the cubic threefold. Shortly after, Mumford pointed out that X can be recovered just from the singularities of the theta divisor. In fact, it has a unique singularity whose tangent cone is the affine cone of the cubic X. Blowing the singularity up yields a resolution of singularities. We will construct this resolution as a moduli space of rank three vector bundles. This allows us to recover the so-called derived Torelli theorem. It roughly says that a certain triangulated subcategory (called the Kuznetsov component of X) of the bounded derived category of coherent sheaves determines X.
Tuesday, November 3, 2020
Start: 11:00 AM
Location: Online via Zoom (Please email the organizers if interested.)
US Election Day
Election Day. No seminar meeting on US Election Day.
Tuesday, November 10, 2020
Start: 11:00 AM
Location: Online via Zoom (Please email the organizers if interested.)
Olivia Dumitrescu
University of North Carolina at Chapel Hill
TBA TBA
Tuesday, November 17, 2020
Start: 11:00 AM
Location: Online via Zoom (Please email the organizers if interested.)
Dagan Karp
Harvey Mudd College
TBA TBA
Tuesday, November 24, 2020
Start: 11:00 AM
Location: Online via Zoom (Please email the organizers if interested.)
Antonio Laface.
University of Concepcion
TBA TBA
Tuesday, December 1, 2020
Start: 11:00 AM
Location: Online via Zoom (Please email the organizers if interested.)
Javier Gonzalez-Anaya
UC Riverside
TBA TBA
Tuesday, December 8, 2020
Start: 11:00 AM
Location: Online via Zoom (Please email the organizers if interested.)
Bernt Ivar Utstøl Nødland
Norwegian Defence Research Establishment
TBA TBA