Front Range Algebraic Geometry Day

 We are proud to announce the

Spring 2025 

Front Range Algebraic Geometry Day

at University of Colorado Boulder, MATH 350

Thursday, April 3, 2025,

 1:00 pm - 5:00 pm

What is FRAG Day?

This day is in collaboration with the FRAGMENT seminar for algebraic geometers in the front range area to connect and discuss their research. In particular, we are committed to fostering connections among graduate students between CU and CSU

Thank you everyone for joining!

Talks and Abstracts

Patricio Gallardo

Title: Invariants and moduli spaces of abelian covers

Abstract: I will discuss my ongoing work with J. Mukherjee on the classification and moduli of varieties of general type constructed via abelian covers. In particular, I will describe the behavior of their numerical invariants, the ratio of their Chern numbers, and conditions under which abelian covers can be used to construct an open subset within a component of the corresponding moduli space.

Kelsey Brown

Title: Combinatorics of real Schubert coverings of moduli spaces of curves

Abstract: We present a new local combinatorial algorithm on Young tableaux that describes wall crossing algorithms for the "Schubert covering" of $\overline{M_0,n}(\mathbb{R}) discovered by David Speyer.  In particular, we build on work of Gillespie and Levinson in the "Schubert curves" case in which one of the partitions involved is a single box and extend it to the general setting of any partition.  This also provides a coplactic notion of evacuation and switching, two famous algorithms in the combinatorics of Young tableaux.

Jonathan Wise

Title: The logarithmic Grassmannian

Abstract:  I will describe a moduli problem whose solution compactifies the space of hyperplane arrangements in an unparameterized projective space. 

Matt Watson

Title: Noncanonical Singularities on Arithmetic Ball Quotients

Abstract: The Kodaira dimension of a normal projective variety is one of the first interesting birational invariants we can ask about. One strategy for computing the Kodaira dimension is to show that the singularities are at worst canonical and then compute the Iitaka dimension of the canonical sheaf. Arithmetic ball quotients are quasi-projective varieties which arise as Hodge theoretic constructions of moduli spaces. After providing lots of background and motivation, I will present a result which classifies the types of noncanonical singularities which can arise on arithmetic ball quotients defined over the Eisenstein integers.  

Organized by Jon Kim (CU), Taylor Rogers (CU), Erin Dawson (CSU), and Ross Flaxman (CSU)