Algebraic Geometry Seminar

The Algebraic Geometry Seminar features talks on all branches of algebraic geometry, as well as related research fields including, and not limited to: number theory, complex geometry, and differential geometry.

Organizer(s): 

For more information about this seminar, contact June Huh or Yuchen Liu.

Please click on seminar title for complete abstract.

October 4, 2016
4:30pm - 5:30pm
Elliptic Calabi-Yau 3-folds, Jacobi forms, and derived categories

By physical considerations, Huang, Katz and Klemm conjectured in 2015 that topological string partition functions for elliptic Calabi-Yau 3-folds are governed by certain Jacobi forms. This gives strong structure results for curve counting invariants of elliptic CY 3-folds.

Location
Fine Hall 322
Speaker: Junliang Shen,
ETH Zurich
October 11, 2016
4:30pm - 5:30pm
Compactification of strata of abelian differentials

Many questions about Riemann surfaces are related to study their flat structures induced from abelian differentials. Loci of abelian differentials with prescribed type of zeros form a natural stratification.

Location
Fine Hall 322
Speaker: Dawei Chen ,
Boston College
October 18, 2016
4:30pm - 5:30pm
Convexity in divisor theory

For toric varieties there is a dictionary relating the geometry of divisors to the theory of polytopes. I will discuss how certain aspects of this dictionary can be extended to divisors on arbitrary smooth projective varieties.

Location
Fine Hall 322
Speaker: Brian Lehmann ,
Boston College
October 25, 2016
4:30pm - 5:30pm
Old and new formulas for degeneracy loci

A very old problem asks for the degree of a variety defined by rank conditions on matrices. The story of the modern approach begins in the 1970's, when Kempf and Laksov proved that the degeneracy locus for a map of vector bundles is given by a certain determinant in their Chern classes.

Location
Fine Hall 322
Speaker: David Anderson ,
Ohio State University
November 8, 2016
4:30pm - 5:30pm
Tropical curve counting in superabundant geometries

I will discuss a general framework using Artin fans -- certain logarithmic algebraic stacks -- in which to understand the relationship between logarithmic stable maps and tropical curve counting.

Location
Fine Hall 322
Speaker: Dhruv Ranganathan ,
MIT
November 15, 2016
4:30pm - 5:30pm
TBD - Han-Bom Moon
Location
Fine Hall 322
Speaker: Han-Bom Moon ,
Fordham University
December 6, 2016
4:30pm - 5:30pm
TBD - Wenfei Liu
Location
Fine Hall 322
Speaker: Wenfei Liu ,
Xiamen University