Front Range Algebraic Geometry Day

We are proud to announce the

Fall 2026

at Colorado State University, Weber 223

Thursday, November 19, 2026,

1:00-5:00

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

Schedule:

1:00-1:30 Coffee
1:30-2:30 Michael Brown
2:30-2:40 Break
2:40-3:10 Jacob Cleveland
3:10-3:20 Break
3:20-4:20 Franco Rota
4:20-4:30 Break
4:30-5:00 Jon Kim
5:00 Closing remarks
5:30 Dinner

Order of speakers subject to change

Talks and Abstracts

Michael Brown

Title: Koszul duality for toric varieties

Abstract: Koszul duality identifies the derived category of projective space with the homotopy category of exact free complexes over an exterior algebra. In 2003, Eisenbud-Fløystad-Schreyer gave an explicit formula for this equivalence via their theory of Tate resolutions. Several years ago, in joint work with Daniel Erman, we introduced a generalization of Tate resolutions for sheaves on toric varieties. I will discuss a followup to this project, which is also joint work with Erman, where we use toric Tate resolutions to give a Koszul duality equivalence between the derived category of a smooth projective toric variety and a certain homotopy category over an exterior algebra.

Jacob Cleveland

Title: TBA

Abstract: TBA

Franco Rota

Title: TBA

Abstract: TBA

Jon Kim

Title: The log MMP for the moduli space of cubic surfaces with a marked line

Abstract: The moduli space of cubic surfaces with a marked line lies naturally between the moduli space of fully marked and unmarked cubic surfaces and comes equipped with a W(D5)W(D5)-action corresponding to the stabilizer of the marked line. Hodge theoretic compactifications of these moduli spaces have been extensively studied by many, including Allcock—Carlson—Toledo, Dolgachev—van Geemen—Kondo, and Casalaina-Martin—Grushevsky—Hulek. In previous work, by using KSBA wall crossing, we described many different birational models of this moduli space via KSBA stable pairs. In this talk, we will discuss recent results regarding the W(D5)W(D5)-invariant birational geometry of these KSBA moduli spaces and ongoing work on the log minimal model program for these KSBA moduli spaces with respect to their log canonical divisor.

Organized by Jon Kim (CU), Taylor Rogers (CU), Ignacio Rojas (CSU), and Ross Flaxman (CSU)

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