Title: Hitchin WKB problem and Geometric P=W conjecture in rank 2 Abstract: After reviewing nonabelian Hodge and Riemann--Hilbert correspondences over curves, I state two closely related open problems concerning their large-scale behavior. I then propose an answer to these questions … Read more
Graduate students Kristen Giesbrect and Emma Crawford, have been selected as finalists for the Three Minute Thesis competition through the Graduate School (https://careerwell.unc.edu/programs/three-minute-thesis/). They will both compete on Wednesday, October 25, 4:00-5:00 in the Freedom Forum Center (305 Carroll Hall). One of … Read more
Join us for an informal meet-up where you can delve into the exciting world of research and the pursuit of advanced degrees in mathematics. Our discussion panel features experienced professors and postdocs associated with the NSF RTG project titled “Partial … Read more
Stochastic and continuum modeling of protein polymer dynamics in neurons Abstract. Microtubules are protein polymers present in most cells; in neurons, microtubules are believed to be stable and to have specific orientations. This is crucial, since other key proteins get transported … Read more
Be a part of live demonstrations at the Physical Mathematics Lab from 10-11 AM, followed by captivating experiments at the Joint Fluids Lab from 11 AM-12 PM. Witness mathematics come to life in these interactive sessions. The official University Research … Read more
Physically Inspired Mathematics Seminar Website
Title: Perverse sheaves and resurgence. Abstract: Perverse sheaves provide a topological counterpart of regular holonomic D-modules, whose solutions are multivalued functions of certain restricted type. Now, much more general multivalued functions (on the complex plane C) have been studied in J. … Read more
Zoom link Divergence of weighted square averages of L1 Ergodic Theory Seminar Website
Transport of nonlinear oscillations along rays that graze a convex obstacle to any order Abstract. When a wave interacts with a convex obstacle, it creates reflected waves, as well as waves in the geometric shadow of the obstacle. This phenomenon … Read more
Positive geometry Abstract. Positive geometries are topological spaces sitting inside algebraic varieties that generalize convex polytopes embedded in projective space. Examples of positive geometries appear in the study of total positivity, toric varieties, and configuration spaces. I will give a … Read more
Title: Monotone links in the DAHA and EHA Abstract: Morton and Samuelson related certain skein algebras on the torus with the double affine Hecke algebra (DAHA) and the elliptic Hall algebra (EHA). We use this construction to study link homology … Read more
Physically Inspired Mathematics Seminar Website
