This Week at ICERM
February 21, 2021
There are no events currently scheduled for February 21st.
February 22, 2021

11:00  12:00 pm ESTGrad Student/ PostDoc Professional Development: Ethics 1Professional Development  Virtual
February 23, 2021
There are no events currently scheduled for February 23rd.
February 24, 2021

3:30  4:30 pm ESTLogConcavity of LittlewoodRichardson CoefficientsVirtual
 Avery St. Dizier, Univeristy of Illinois at UrbanaChampaign
Abstract
We describe a logconcavity property of the LittlewoodRichardson numbers and explain its connection to the theory of Lorentzian polynomials.
February 25, 2021

10:00  11:00 am ESTLearning Seminar  Differential forms on tropical moduli spacesSeminar  Virtual
 Melody Chan, Brown University
 Sam Payne, University of Texas at Austin
Abstract
The goal is to understand Francis Brown's recent arXiv preprint Invariant differential forms on complexes of graphs and Feynman integrals. A subgoal, which we hope takes shape over the course of the seminar, is to draw out the connection between Brown's article and tropical moduli spaces of curves and abelian varieties.
This is not an introductory seminar per se in that the choice of topic is of specialized interest and of particular interest to us visavis our current work. On the other hand, we will try to develop the machinery without relying on background from tropical geometry, much as Brown's article is able to do.
Resources to get started:
1. Sam's lectures from the introductory Workshop, available from the webpage
2. Draft of a survey articleon classical/tropical moduli spaces by Melody, which outlines the appearance of graph complexes in the study of tropical moduli. 
11:00  12:00 pm ESTSemistable Reduction SeminarSeminar  Virtual
 Dan Abramovich, Brown University
February 26, 2021

10:00  10:30 am ESTGraduate Student/ PostDoc preseminar break in GatherCoffee Break  Virtual

10:30  11:30 am ESTCMregularityPost Doc/Graduate Student Seminar  Virtual
 Matthew Larson, Stanford University
 Mahrud Sayrafi, University of Minnesota
Abstract
The geometry of CastelnuovoMumford regularity  Matt Larson, Stanford University
CastelnuovoMumford regularity is a tool for proving effective versions of Serre vanishing. I will explain why this is frequently necessary throughout algebraic geometry. I will also define CastelnuovoMumford regularity, state its basic properties, and explain its relationship to syzygies of graded module.
Computing the Multigraded CastelnuovoMumford Regularity  Mahrud Sayrafi, University of Minnesota
Motivated by toric geometry, MaclaganSmith defined the multigraded Castelnuovo Mumford regularity. While this definition reduces to the usual regularity for saturated modules in P^n, some properties of the classical regularity are not yet proven to be true in the multigraded case, while others hold true with subtle differences that illuminate the differences in geometry. In this talk I will focus on the case of a product of projective spaces and describe an algorithm for computing the multigraded regularity for saturated modules implemented in Macaulay2. 
11:30  12:00 pm ESTGraduate Student/ PostDoc postseminar break in GatherCoffee Break  Virtual
February 27, 2021
There are no events currently scheduled for February 27th.
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