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## October 2021

### Lilian Pierce, Duke University – Mathematics Colloquium

Lilian Pierce, Duke University Mode: Zoom Time: 4:00 pm - 5:00 pm Virtual Tea-time starting at 3:45pm Title: Counting problems: open questions in number theory Abstract: Many questions in number theory can be phrased as counting problems. How many primes are there? How many elliptic curves are there? How many integral solutions to this system of equations are there? How many number fields are there? Sometimes the answer is “infinitely many,” and then we want to understand the order of…

Find out more »### Chiara Damiolini, University of Pennsylvania – Geometric Methods in Representation Theory Seminar

Over Zoom

Find out more »## November 2021

### David Nadler, UC Berkley – Mathematics Colloquium

Location: Phillips Hall, Room 332 Tea-time starting at 3:30 pm in Phillips Hall, Room 330 Time: 4:00 pm – 5:00 pm Speaker: David Nadler, UC Berkeley Title: Skeleta of Weinstein manifolds Abstract: I'll survey some history and motivation for the study of Weinstein manifolds and their skeleta. Then I'll discuss recent and ongoing work with Dani Alvarez-Gavela and Yasha Eliashberg devoted to understanding polarized Weinstein manifolds in terms of their skeleta.

Find out more »### David Nadler, UC Berekley – Geometric Methods in Representation Theory Seminar

Location: Phillips Hall, Room 385 Time: 2:30 – 3:30 pm Speaker: David Nadler, UC Berkeley Title: Betti Geometric Langlands Abstract: I'll introduce Betti Geometric Langlands through some key objects, conjectures and results. Then I'll discuss recent and ongoing work with Zhiwei Yun devoted to constructing some of its expected topological field theory structures.

Find out more »### Greg Forest, UNC-Chapel Hill – Joint Mathematics-Applied Mathematics Colloquium

UNC Mathematics-Applied Mathematics Joint Colloquium Speaker: Greg Forest, UNC Chapel Hill Time: 4pm Mode: In-person - Phillips Hall 332 tea-time in Phillips Hall 330 at 3:30 pm Title: Modeling insights into SARS-CoV-2 respiratory tract infections Abstract: I and many collaborators, postdocs, and students from many disciplines have explored lung mechanics and disease pathology for over 2 decades in a pan-university effort called the UNC Virtual Lung Project. In the last decade with the Sam Lai lab we have explored how…

Find out more »### Xuqiang Qin, UNC-Chapel Hill – Geometric Methods in Representation Theory Seminar

Mode: In-Person Location: Phillips Hall 385 Title: Minimal instantons on Fano threefolds and compactifications of their moduli spaces Abstract: Instanton bundles were first introduced on P^3 as stable rank 2 bundles E with c1(E)=0 and H^1(E(-2))=0. Torsion free generalizations and properties of moduli spaces of instanton bundles have been widely studied. Faenzi and Kuznetsov generalized the notion of instanton bundles to other Fano threefolds. In this talk, we look at semistable sheaves of rank 2 with Chern classes c1 =…

Find out more »### Professor Andrew Torok, University of Houston – Ergodic Theory Seminar

Time: 12:10 - 1:10 pm Mode: Zoom Title: Stable laws for random dynamical systems. Abstract: For a random system consisting of beta-transformations, or more general uniformly expanding maps, we consider the convergence to a stable law (the analogue of the Central Limit Theorem for certain observations that have infinite second moments). We obtain quenched convergence (that is, for almost each choice of the sequence of maps) in the Skorokhod J_1 topology, by extending results of Marta Tyran-Kaminska. This is joint work…

Find out more »### Jason Metcalfe, UNC-Chapel-Hill – Analysis & PDE Seminar

Mode: In-person TITLE: Variants of r^p weighted local energy estimates and their application to long time existence for nonlinear wave equations ABSTRACT: We will examine long-time existence for nonlinear wave equations (1) satisfying the null condition, (2) containing dependence on the solution at the lowest order, and (3) satisfying a certain weak null condition. The method of proof relies on a space-time Klainerman Sobolev estimate and a local energy estimate that is a variant of the r^p weighted estimates. Efforts…

Find out more »### Dima Arinkin, University of Wisconsin, Madison – Mathematics Colloquium

Mode: Zoom Title: Moduli spaces and their compactifications Abstract: Very broadly speaking, geometry is the study of spaces. Here `space' is a placeholder: different flavors of geometry work with spaces such as differentiable manifolds (differential geometry), topological spaces (topology), varieties (algebraic geometry, my favorite), and so on. But what makes a space an interesting object of study? One class of `interesting' spaces is the so-called moduli spaces (the word `moduli' goes back to Riemann and means `parameters'). Moduli spaces parametrize objects of…

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