Auburn Algebra Seminar
Spring 2026
Schedules from past semestersSeminars will be held in Parker 354 on Tuesdays from 2:30 to 3:20, unless otherwise noted.
Schedule:
January 13: Michael Brown (local)Title: The BGG correspondence for toric varieties, Part 1
Abstract: The Bernstein-Gel'fand-Gel'fand (BGG) correspondence gives an equivalence between the derived category of projective space and the singularity category of an exterior algebra. Recent work of mine with Daniel Erman ("Tate resolutions on toric varieties") suggested what a generalization of this theorem for toric varieties might look like. I will talk about ongoing work toward proving such a generalization.
January 20: Michael Brown (local)
Title: The BGG correspondence for toric varieties, Part 2
Abstract: This is a continuation of last week's talk.
January 27: Hal Schenck (local)
Title: Chow rings in toric geometry
Abstract: We discuss an intersection theory computation in toric geometry that exhibits why exponential formulas appear in algebraic geometry.
February 3: Anirban Bhaduri (University of South Carolina)
Title: Orlov Spectrum for Weighted Projective Line
Abstract: One way to measure the complexity of a triangulated category is through its Orlov spectrum, defined as the set of all possible generation times of strong generators. There are very few cases where the Orlov spectrum has been explicitly computed; one example is the bounded derived category of coherent sheaves on the projective line over a field. In this talk, we discuss explicit generation times for certain strong generators and establish bounds for others, thereby fully determining the Orlov spectrum of the weighted projective line of type (2) over a field. We also explore possible generalization to the case of weighted Projective line of type (n). This talk is based on a joint work with Matthew Ballard.
February 10:
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February 17:
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February 24:
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March 3:
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March 17:
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March 24:
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March 31:
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April 7: Andrew Soto Levins (Texas Tech University)
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April 14:
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April 21:
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