Title: Developing a library of formalized mathematics from a univalent point of view Abstract: The agda-unimath project started in November 2021, at a meeting called Univalent Foundations for Daily Applications. At this meeting, I proposed to formalize the Symmetry book project, in which group theory is studied from the perspective that symmetries are identifications in […]
Title: Finite time explosion for SPDEs Abstract: The classical existence and uniqueness theorems for SPDEs prove that, under appropriate assumptions, SPDEs with globally Lipschitz continuous forcing terms have unique global solutions. This talk outlines recent results about SPDEs exposed to superlinearly growing deterministic and stochastic forcing terms. I describe sufficient conditions that guarantee that, despite […]
Title: Cantor Dynamical Systems, Bratteli Diagrams, and Their Associated Full GroupsAbstract: If a countable group G acts on a Cantor set X, one can enlarge G to a (still countable) group F(G) by adding homeomorphisms of X that act locally as elements of G. This group, known as the full group of the dynamical system […]
Title: Du Bois invariants for isolated singularities.Abstract: The Du Bois invariants are natural invariants for singularities. In this talk, I will explain what they are, why they are interesting, and report on recent and ongoing work studying their properties.
Title: A survey of enriched categoriesAbstract: We'll recall some rudiments of the notion of a category, including some examples such as the category Set of sets and functions, the category Vect of vector spaces and linear maps, the category Top of topological spaces and continuous maps, etc. We'll then delve into the notion of an enriched category, where […]
Title: Affine and asymptotic Hecke algebras Abstract: Affine Hecke algebras play a prominent role the representation theory of p-adic groups, where a large subcategory of representations are equivalent to modules over the affine Hecke algebra. The important subcategory of tempered representations is equivalent to modules over a larger ring, the Harish-Chandra Schwartz algebra. However, this […]
Title : Scalar curvature comparison and rigidity of 3-dimensional weakly convex domains Abstract: I will discuss a comparison and rigidity result of scalar curvature and scaled mean curvature on the boundary for weakly convex domain in Euclidean space, which is a joint work with Xuan Yao. This result is a smooth analog of Gromov's dihedral […]
Title: "On applications of Topology" Abstract: I will explain how knowledge of Topology helped with winning the Nobel Prize in Physics 2016. No familiarity with advanced math beyond Calculus will be assumed from the audience.
Title: Giving Students Useful Feedback. Abstract: "Giving Students Useful Feedback" is designed for Mathematics teaching assistants. This workshop aims to enhance TA's skills in providing effective and constructive feedback to students. By the end of the workshop, teaching assistants will be able to evaluate the effectiveness of examples of feedback and create feedback for students […]
Title: Generalized Bondage Number: The k-synchronous bondage number of a GraphAbstract: In this talk I will introduce the notions of domination, domination number, and bondage number on a graph. We will generalize the notion to k-synchronous bondage number, mainly the case when k = 2. We will present k-synchronous bondage number for several graph classes.
Title: A characterization of uniruled Kähler manifolds.Abstract: We adapt Bost's algebraicity characterization to the situation of a germ in a compact Kähler manifold. As a consequence, we extend the algebraic integrability criteria of Campana-Paun and of Druel to foliations on compact Kähler manifolds. As an application, we prove that a compact Kähler manifold is uniruled if and […]