MONDAY  12/5/22

Analysis Seminar
Location: ICERM  121 South Main Street, 11th Floor, Room 1115 Time: 3:004:00pm Speaker: Naga Manasa Vempati, Georgia Tech & ICERM Title: Compactness of the Bloom sparse operators and applications. Abstract: We discuss the characterization of compactness for the sparse operator (associated with symbol in weighted VMO space) in the twoweight setting on the spaces of homogeneous type. As a direct application we obtain the compactness characterization for the maximal commutators with respect to the weighted VMO functions and the commutator of Calderon–Zygmund operators on the homogeneous spaces. We will look at the applications of this approach to multilinear Bloom setting. 
Algebra Seminar
Location: Kassar 105 Time: 4:005:00pm Speaker: Sameeera Vemulapalli, Princeton Title: The relationship between scrollar invariants of curves and successive minima of orders in number fields, and related counting problems Abstract: Let n >= 2 be an integer. To a degree n cover of P^1, we may attach n integers called the scrollar invariants. Similarly, to an order in a degree n number field, we may attach n real numbers called the successive minima. In this talk I will explain the relationship between scrollar invariants of curves and successive minima of orders in number fields, and I will prove bounds on both. When n < 6, I'll also discuss a related counting question: how many orders in degree n number fields are there with bounded discriminant and prescribed successive minima?

WEDNESDAY  12/7/22

Geometry & Topology Seminar
Location: Kassar 105 Time: 3:004:00pm Speaker: Sara Maloni, University of Virginia Title: Pleated surfaces in PSL_d(C) Abstract: Pleated surfaces are an important tool introduced by Thurston to study hyperbolic 3manifolds and can be described as piecewise totally geodesic surfaces, bent along a geodesic lamination lambda. Bonahon generalized this notion to representations of surface groups in PSL_2(C) and described a holomorphic parametrization of the resulting open charts of the character variety in term of shearbend cocycles. In this talk I will discuss joint work with Martone, Mazzoli and Zhang, where we generalize this theory to representations in PSL_d(C). In particular, I will discuss the notion of dpleated surfaces, and their holomorphic parametrization. 
Analysis Seminar
Location: ICERM  121 South Main Street, 11th Floor, Room 1115 Time: 4:005:00pm Speaker: Francesco Di Plinio, Università degli Studi di Napoli "Federico II" Title: Wavelet representation and Sobolev regularity of quasiconformal mappings on domains Abstract: This work devises a new smooth representation formula for the compression of CZ operators on domains. As a first order consequence of this representation, we obtain a weighted, sharply quantified T(1)type theorem on Sobolev spaces. Previous results of Prats and PratsTolsa are limited to unweighted bounds for convolutiontype operators. Our weighted Sobolev inequalities are subsequently applied to obtain quantitative regularity results for solutions to the Beltrami equation with symbol in the critical class W^{k,2}(Omega). Alll past results, due to Prats among others, based on the Iwaniec scheme are of qualitative nature.Talk is based on current and ongoing joint work with Walton Green and Brett Wick (WUSTL) 
Colloquium
Location: Foxboro Auditorium Time: 4:305:30pm Speaker: Joe Harris, Harvard Title: Lang's conjectures and the boundedness of rational points
Abstract: In this talk, I'd like to revisit and update a paper from almost 30 years ago. 
Graduate Student Seminar
Location: Kassar 105 Time: 5:006:00pm Speaker: Sam Freedman Title: Untitled SquareTiled Surfaces Talk Abstract: TBA 
FRIDAY  12/9/22

Algebraic Geometry Seminar
Location: Kassar 105 Time: 3:004:00pm Speaker: Samir Canning, ETH Title: The Chow ring of the moduli space of degree 2 K3 surfaces Abstract: The intersection theory of the moduli space of K3 surfaces polarized by a lattice is a subject of recent interest because of its deep connections with a wide variety of mathematics, including the intersection theory of moduli spaces of curves and the study of modular forms. Oprea and Pandharipande conjectured that the tautological rings of these moduli spaces of K3 surfaces are highly structured in a way that mirrors the picture for the moduli space of curves. I will discuss the proof of this conjecture in the case of K3 surfaces polarized by a degree 2 line bundle. This is joint work with Dragos Oprea and Rahul Pandharipande. 
PDE Seminar
Location: 170 Hope Street, Room 108 Time: 3:004:00pm Speaker: Zongyuan Li, Rutgers Title: TBA Abstract: TBA 
PDE Seminar
Location: 170 Hope Street, Room 108 Time: 4:005:00pm Speaker: Gonzalo CaoLabora, MIT Title: TBA Abstract: TBA 
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