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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.

Thu, Jan. 16 11:15am (MATH …	Ruijie Yang (Kansas) Archimedean zeta function and Hodge theory Sponsored by the Meyer Fund
Thu, Jan. 23 11:15am (MATH …	AG Group Organizational Meeting
Thu, Jan. 30 11:15am (MATH …	AG Group X AG graduate students will give a quick rundown of their thesis problems. This will also be a time for students to ask help from other graduate students and faculty. AG Support
Thu, Feb. 6 11:15am (MATH …	Matt Watson X D-Modules are algebraic objects which can be used in the study of linear PDEs on a complex algebraic variety. In this talk we will give a definition and see how D-modules correspond to flat connections. If time allows we may cover left and right D-modules, coherence, or good filtrations. Introduction to D-Modules
Thu, Feb. 13 11:15am (MATH …	Daniel Lyness X We will continue to introduce D-modules from last week's talk. Introduction to D-Modules (continued)
Tue, Feb. 18 12pm (MATH 350)	Mihnea Popa (Harvard) X The Hodge diamond of a smooth projective complex variety contains essential topological and analytic information, including fundamental symmetries provided by Poincaré and Serre duality. I will describe recent progress on understanding how much symmetry there is in the analogous Hodge-Du Bois diamond of a singular variety, and the concrete ways in which this symmetry reflects the singularity types. In the process, we will see how invariants from commutative algebra and birational geometry influence the topology of an algebraic variety, for instance by means of new weak Lefschetz theorems. Hodge symmetries of singular varieties Sponsored by the Meyer Fund
Thu, Feb. 27 11:15am (MATH …	Jon Kim X In 2024, Shock constructed several KSBA compactifications of the moduli space of cubic surfaces. More precisely, he considered pairs consisting of a cubic surface and a boundary divisor given by the sum of the 27 lines, all weighted by the same number in the interval (1/9,1]. For weights close to 1/9, one obtains the Naruki compactification, resulting from Gallardo—Kerr—Schaffler. For weights close to 1, the compactification was done by Hacking—Keel—Tevelv. For weights in-between, Schock provided a finite wall-and-chamber decomposition of the weight domain (1/9, 1], and described the weighted stable pairs parameterized by the moduli spaces in each chamber. In this preparatory talk, I will introduce the preliminary material regarding KSBA compactifications and this work done by Schock. Moduli of Weighted Stable Marked Cubic Surfaces
Thu, Mar. 6 11:15am (MATH …	Nolan Schock (UIC) X The moduli space of marked cubic surfaces is one of the most classical moduli spaces in algebraic geometry, dating back to the nineteenth century work of Cayley and Salmon. I will discuss a number of results describing geometrically meaningful and interesting compactifications of the moduli space of marked cubic surfaces from the perspectives of modern moduli theory, birational geometry, tropical geometry, classical algebraic geometry, and Hodge theory. These results include explicit descriptions of the combinatorics, intersection theory, and birational geometry of these compactifications, as well as a complete, detailed description of the surfaces they parameterize. Geometry of moduli of marked cubic surfaces Sponsored by the Meyer Fund
Thu, Mar. 13 11:15am (MATH …	Leo Herr (Virginia Tech) X Joint work with Sara Mehidi, Marta Pieropan, Thibault Poiret Let X --> Y be a morphism of varieties and k a field. Consider the set X(k) of k-points, or solutions to the equations defining X with coordinates in k. If X = V(x^2 + y^2 - 1) for example, then the set of Q-points consists of primitive Pythagorean triples and the geometry of X shows there are infinitely many solutions. According to Hindry-Silverman, "Geometry determines Arithmetic." We want to determine the image of the map on k-points X(k) --> Y(k). Suppose X --> Y arises as the fiber over 0 of a family of varieties X' --> Y'. The geometry of the family X' --> Y' can also constrain the type of k-points that land in the image of X(k) --> Y(k), as Campana observed. Abramovich generalized this notion in a beautiful, incomplete manuscript called "birational geometry for number theorists" and gave us permission to realize this vision using log geometry. Log structures on X, Y remember enough about the families X', Y' to constrain the rational points. "Birational geometry for number theorists" for log geometers
Thu, Mar. 20 11:15am (MATH …	Ruijie Yang (Kansas) X We will discuss some number theoretic motivation for studying minimal exponent of a hypersurface, which is the nonarchimedean counterpart of the Archimedean zeta function. Then I will explain a toy model, i.e. Milnor fiber of an isolated singularity, for the proof of the main theorem. We will see why Hodge theory naturally enters into the picture. Minimal exponent of hypersurfaces, p-adic integration and Milnor fibers Sponsored by the Meyer Fund
Thu, Apr. 3 1:30pm (MATH 3…	Patricio Gallardo (UC Riverside) X 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. This is part of AG day: https://sites.google.com/colorado.edu/front-range-ag/ Invariants and moduli spaces of abelian covers Sponsored by the Meyer Fund

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Events for Algebraic Geometry Seminar