4:00pm to 5:00pm - RH 340P - Geometry and Topology Sonja Farr - (University of Nevada, Reno) Hochschild Cohomology and Higher Centers Kontsevich’s formality theorem in deformation theory asserts that the Hochschild-Kostant-Rosenberg map lifts to a quasi-isomorphism of homotopy Gerstenhaber algebras between polyvector fields and polydifferential operators. By exhibiting the sheaf of polydifferential operators as a universal enveloping algebra, this can be interpreted as a type of Duflo isomorphism. In this talk, I will present my work towards understanding this geometric Duflo isomorphism in the context of ∞-operads and higher centers. In particular, I will explain how higher centers can be used to equip the Hochschild cochain complex with a universal property. |
3:00pm to 4:00pm - 510R Rowland Hall - Combinatorics and Probability Valeriia Kotelnykova - (UCI) Balls-in-boxes scheme: proving the law of the iterated logarithm There is an infinite pool of balls and an infinite number of boxes. Let's randomly drop n balls into the boxes and study the number of occupied boxes. Classical limit theorems, the law of large numbers and the central limit theorem, are non-trivial, but known. Can we now prove the law of the iterated logarithm? I will show how to do this using tools that have much wider applicability. The talk is based on joint work with Dariusz Buraczewski (Wroclaw, Poland) and Alexander Iksanov (Kyiv, Ukraine). |
9:00am to 9:50am - Zoom - Inverse Problems Andrea Aspri - (Università degli Studi di Milano) Direct and Inverse Problems for Elastic Dislocations |
3:00pm to 3:50pm - Rowland Hall 440 R - Logic Set Theory Dima Sinapova - (Rutgers University) Forcing and Borel Equivalence Relations This talk analyses when different generics for a given poset yield the same extension gives rise to countable Borel equivalence relations. We characterize when these relations are smooth. We also explore Prikry and Cohen forcing. This is joint work with Filippo Calderoni. |
4:00pm to 5:00pm - RH 306 - Colloquium Melody Chan - (Brown University) Moduli spaces in tropical geometry I intend to give a true introduction, accessible to beginning graduate students, to the topics in the title: what is tropical geometry? What is a moduli space? And how can one be used to study the other? Then I'll discuss some aspects of joint work with Francis Brown, Søren Galatius, and Sam Payne, in which we identify a Hopf algebraic structure on the weight 0 subspace of the compactly supported cohomology of the moduli space of abelian varieties and deduce a number of consequences. |
3:00pm to 4:00pm - NS 1201 - Colloquium Michael Aizenman - (Princeton University) Entropy of (quantum) entanglement in pure states of rapid decorrelation I. The entropy of the restriction of a pure quantum state to a subsystem is a measure of the entanglement between the system's two components. II. After explaining the concepts, the talk will focus on conditions implying an area-type bound on the entanglement in pure states of quantum lattice models. |
8:00am to 5:00pm - UC Riverside - Applied and Computational Mathematics - (UC Riverside) SOCAMS 2025 April 04, 2025: Deadline for talk and poster abstracts submissions.
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