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Events for Algebraic Geometry Seminar

ICS calendar file for Algebraic Geometry

This file can be used to add scheduled events to your calendar, however every program is unique. Below you will find what information is available, but if nothing else works try creating a new calendar in your program and using

http://math.colorado.edu/seminars/ics/frag.ics

as the source.

Thunderbird

The Algebraic Geometry Seminar, AKA FRAGMENT, meets at Boulder on Thursdays 11:15 AM -- 12:15 PM in MATH 350 and at CSU on Thursdays 3 -- 5 PM in Weber 201. For more information, or to provide a speaker, please contact Renzo Cavalieri, Jonathan Wise, or Sebastian (Yano) Casalaina.

Tue, Aug. 20 3pm (MATH 350)	Sabrina Pauli (TU Darmstadt) X Enumerative geometry is the branch of algebraic geometry concerned with counting numbers of solutions to geometric questions. A famous problem in this area is counting plane rational curves of degree d passing through 3d-1 given points. Tropical geometry has been a powerful tool in tackling enumerative geometry problems, notably marked by Mikhalkin's correspondence theorem. This theorem translates the count of plane curves into the count of their tropical counterparts, for which there are elegant solutions using only combinatorics. Results from A1-homotopy theory allow to ask questions in enumerative geometry over arbitrary base fields, not just algebraically closed ones, and still get meaningful answers, leading to a new area called A1-enumerative geometry. In the talk I will give an introduction to A1-enumerative geometry and explain how tropical geometry can be used to solve problems in this area. Tropical methods in A1-enumerative geometry
Thu, Sep. 5 11:15am (MATH …	Algebraic geometry group X The algebraic geometry group will talk a bit about their research. Algebraic geometry open house
Thu, Sep. 12 11:15am (MATH …	Adrian Neff X Given a nodal genus one curve and a proper subcurve of genus one, we will construct a contraction that collapses the subcurve to a genus one singularity. We will do this by first introducing residues for curves over local artinian rings and "twists" of these residues by tropical data from the curve, then we will use these residues to explicitly construct the contraction. Residues and contractions of genus one curves
Thu, Sep. 19 11:15am (MATH …	Jonathan Wise TBA
Thu, Sep. 26 11:15am (Math …	Dawei Chen (Boston College) X Multiscale differentials arise as limits of holomorphic differentials with prescribed orders of zeros on nodal curves. In this talk, I will explain a beautiful conjecture, initially proposed by Ranganathan—Wise and further elaborated upon by Battistella—Bozlee, which concerns contraction of multiscale differentials to Gorenstein singularities level by level. Differentials and Singularities Sponsored by the Simons Foundation
Thu, Oct. 3 11:15am (MATH …	Jon Kim X We will showcase the classification of algebraic surfaces by Kodaira dimension followed by an introduction to the minimal model program using surfaces as a guiding example. Classification of Algebraic Surfaces and the Minimal Model Program
Thu, Oct. 10 11:15am (MATH …	Jon Kim X We will continue the talk from last week starting by classifying algebraic surfaces via Kodaira dimension. Classification of Algebraic Surfaces and the Minimal Model Program II
Thu, Oct. 17 11:15am (MATH …	Jon Kim X We continue the talk from last week starting with Mori's cone theorem. Introduction to the Minimal Model Program III
Thu, Oct. 24 11:15am (MATH …	Jon Kim X We will finish explaining the minimal model program for surfaces and introduce minimal models of higher dimensional varieties. In particular, we will discuss how singularities can arise when contracting external rays in higher dimensions and how we should expand our category of minimal models to account for these singularities. Introduction to the Minimal Model Program IV (Final part)
Thu, Oct. 31 11:15am (MATH …	Sebastian Casalania-Martin TBA
Thu, Nov. 14 11:15am (MATH …	Jonathan Wise TBA
Thu, Nov. 21 2pm (CSU)	Carl Lian (Tufts Univerisity) X Let Gr(k,n) be the Grassmannian of k-planes in C^n. The standard torus action on C^n induces a torus action on Gr(k,n), whose orbits encode interesting combinatorial and geometric invariants. I will describe an explicit degeneration of the “generic” torus orbit closure into a union of Richardson varieties (intersections of two Schubert varieties). This gives a new proof of a formula of Berget-Fink for the Chow class of this subvariety of X, and the technique has further (but not yet fully realized) applications in enumerative geometry. The method also works for the variety of full flags in C^n, giving a new proof of an earlier result of Anderson-Tymoczko. Via the toric moment map, the combinatorial shadow of this degeneration is a polyhedral decomposition of the permutohedron due to Harada-Horiguchi-Masuda-Park. Time-permitting, I will mention some ongoing work with Grace Chen extending this story to type B. Degenerations of torus orbits
Thu, Dec. 5 11:15am (MATH …	Daniel Lyness TBA
Thu, Dec. 5 2pm (Zoom)	Nicola Tarasca (Virginia Commonwealth University) View Online:https://cuboulder.zoom.us/j/97927772782 X Spaces of coinvariants have classically been constructed by assigning representations of affine Lie algebras, and more generally, vertex operator algebras, to pointed algebraic curves. Removing curves out of the picture, I will construct spaces of coinvariants at abelian varieties with respect to the action of an infinite-dimensional Lie algebra. I will show how these spaces globalize to twisted D-modules on moduli of abelian varieties, extending the classical picture from moduli of curves. This is based on the preprint arXiv:2301.13227. Coinvariants of metaplectic representations and abelian varieties.
Thu, Dec. 12 11:15am (MATH …	Matthew Watson TBA

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Events for Algebraic Geometry Seminar