Events
Naihuan Jing, NC State, Yangian algebras of classical types
SAS 4201Yangians are one of the main examples of quantum groups introduced by Drinfeld and have found applications in combinatorics, representation theory and algebraic geometry. It is well-known that the R-matrix presentation of the Yangian in type A yields generators of its Drinfeld presentation. It has been an open problem to extend this result to the remaining types since…
Lixin Wu, Hong Kong University of Science and Technology, xVA: Definition, Evaluation and Risk Management
SAS 2106xVA is a collection of valuation adjustments made to the classical risk-neutral valuation of a derivative or derivatives portfolio for pricing or for accounting purposes, and it has been a matter of debate and controversy. This presentation is intended to clarify the notion of xVA as well as the usage of the xVA items in…
Alex Zupan, University of Nebraska, A special case of the Smooth 4-dimensional Poincare Conjecture
The smooth version of the 4-dimensional Poincare Conjecture (S4PC) states that every homotopy 4-sphere is diffeomorphic to the standard 4-sphere. One way to attack the S4PC is to examine a restricted class of 4-manifolds. For example, Gabai's proof of Property R implies that every homotopy 4-sphere built with one 2-handle and one 3-handle is standard. …
Multiscale Kinetics Conference Nov 7-10, 2018
SAS 4201Wednesday to Saturday Nov. 7-10 in SAS Hall 4201. Lectures are open to all. Conference Information is located here.
Yaiza Canzani, UNC Chapel Hill, Understanding the growth of Laplace eigenfunctions
In this talk we will discuss a new approach to understanding eigenfunction concentration. We characterize the features that cause an eigenfunction to saturate the standard supremum bounds in terms of the distribution of L^2 mass along geodesic tubes emanating from a point. We also show that the phenomena behind extreme supremum norm growth is identical…
Multiscale Kinetics Conference Nov 7-10, 2018
SAS 4201Wednesday to Saturday Nov. 7-10 in SAS Hall 4201. Lectures are open to all. Conference Information is located here.
Departmental Tea and Cookies
SAS 4104Jonathan Mattingly, Duke University, Quantifying Gerrymandering: A mathematician goes to court
SAS 1102In October 2017, I found myself testify for hours in a Federal court. I had not been arrested. Rather I was attempting to quantifying gerrymandering using analysis which grew from asking if a surprising 2012 election was in fact surprising. It hinged on probing the geopolitical structure of North Carolina using a Markov Chain Monte…
Multiscale Kinetics Conference Nov 7-10, 2018
SAS 4201Wednesday to Saturday Nov. 7-10 in SAS Hall 4201. Lectures are open to all. Conference Information is located here.
Preston Keith (guest presenter from the GLBT Center), Providing Inclusive Support within the Classroom
Target Audience: All students
Triangle Lectures in Combinatorics
Hanes Hall, Room 120 University of North Carolina, Chapel HillHanes Hall, Room 120 University of North Carolina, Chapel Hill Chapel Hill, North Carolina The Triangle Lectures in Combinatorics is a series of combinatorial workshops held each semester on a Saturday in the Research Triangle region of North Carolina, funded by the National Science Foundation. The workshop this coming fall, the 16th installment of the Triangle Lectures in Combinatorics,…
Multiscale Kinetics Conference Nov 7-10, 2018
SAS 4201Wednesday to Saturday Nov. 7-10 in SAS Hall 4201. Lectures are open to all. Conference Information is located here.
Malgorzata Peszynska, Modeling hysteresis using ODEs with constraints: Numerical stability and other properties
SAS 4201In nonlinear conservation laws the flux function f(u) is usually single valued, but in many important applications it is hysteretic, i.e., it assigns different values depending on whether the input u(t) is increasing or decreasing in t. We present our recent results on a hysteresis model built with a collection of auxiliary ODEs under constraints. The model shares some similarities…
John Baldwin, Boston College, Contact structures, instantons, and SU(2) representations
A strengthening of the Poincare Conjecture asks whether the fundamental group of every closed 3-manifold which is not the 3-sphere admits a nontrivial homomorphism to SU(2). With that as motivation, I'll describe a connection between Stein fillings of a 3-manifold and SU(2) representations of its fundamental group, coming from instanton Floer homology. This connection can…
Marco Mazzola, Paris 6, On the controllability of a set valued evolution
SAS 4201We consider a controllability problem for the evolution of a set in V(t). This problem was originally motivated by a model where a dog controls a flock of sheep. Here, V(t) is the region occupied by the sheep and the position of the dog is regarded as a control function. We will discuss necessary conditions…
Brian Adams, Sandia National Laboratories, Information session about Sandia National Laboratories
SAS 2106A brief overview of SNL’s mission, R&D areas, and opportunities in mathematics, statistics, and computational science will be given.
Suzanne Crifo, NC State, Some Maximal Dominant Weights and their Multiplicities for Affine Lie Algebra Representations
Affine Lie algebras are infinite dimensional analogs of finite dimensional simple Lie algebras. It is known there are finitely many maximal dominant weights for any integrable highest weight representation of an affine Lie algebra. However, determining these maximal dominant weights is a nontrivial task. So far only the descriptions of these weights are known for…
SIAM Student Chapter Industry Series: Dr. Rachel Clipp, R&D Staff, Kitware Inc
SAS 4201Kitware develops and supports modeling and simulation platforms that power medical training, planning, and predictive applications for improved patient treatment and outcomes. Our capabilities include whole-body computational physiology models for faster than real-time simulation, surgical planning, and guidance applications, high-fidelity computational fluid dynamics for patient-specific treatment planning, and virtual/augmented reality solutions for immersive training, and…