Events
Mark Iwen, Michigan State University, Sparse Fourier Transforms, Generalizations, and Extensions
SAS 4201Compressive sensing has generated tremendous amounts of interest since first being proposed by Emmanuel Candes, David Donoho, Terry Tao, and others roughly a decade ago. This mathematical framework has its origins in (i) the observation that traditional signal processing applications, such as MRI imaging problems, often deal with the acquisition of signals which are known…
Departmental Tea and Cookies
SAS 4104Pierre-Emmanuel Jabin, University of Maryland, Critical scales for the regularity of advection equations and applications to compressible fluid mechanics
This talk will present recent works to identify the critical scales at which regularity is propagated by advection equations with rough, i.e. non-smooth, velocity fields. After reviewing the classical theory of renormalized solutions which provides qualitative arguments of regularity and well-posedness, more recent quantitative approaches will be discussed. Our goal is to use this framework…
Weekly Brown Bag Lunch
SAS 4104Join us tomorrow Wednesday 1/16/19 from 12:00-1:00 in the math graduate lounge for our first weekly brown bag lunch of the semester. As a reminder all are welcomed including undergraduate students! There will be goodies!
Departmental Tea and Cookies
SAS 4104Khrystyna Serhiyenko, University of California at Berkeley, Cluster structures in Grassmannian and Schubert varieties
SAS 4201Cluster algebras are commutative rings defined by a set of generators and relations and equipped with a rich combinatorial structure. It turns out that coordinate rings of many important varieties from Lie theory are cluster algebras. In this talk, we will discuss cluster structures in open Schubert varieties of the Grassmannian and their…
Departmental Tea and Cookies
SAS 4104Alpar Meszaros, UCLA, Mean Field Games and Master Equations
SAS 4201The theory of Mean Field Games was invented roughly a decade ago simultaneously by Lasry-Lions on the one hand and Caines-Huang-Malhamé on the other hand. The aim of both groups was to study Nash equilibria of differential games with infinitely many players. In the first half of the talk, we will introduce some basic models…
Brown Bag Lunch
SAS 4201Departmental Tea and Cookies
SAS 4104Brown Bag Lunch
SAS 4104Join us tomorrow Wednesday 1/23/19 from 12:00-1:00 in the math graduate lounge for our weekly brown bag lunch. As a reminder all are welcomed including undergraduate students! There will be goodies!
Brian Collier, University of Maryland, Higher Teichmüller spaces and Higgs bundles
SAS 4201The Teichmüller space of a surface is a rich mathematical object which can be interpreted from many different perspectives. For example, Teichmüller space can be thought of as a moduli space of hyperbolic structures, Riemann surface structures, or representations of the fundamental group into PSL(2,R) which are discrete and faithful. The aim of higher Teichmüller…
Departmental Tea and Cookies
SAS 4104Teng Fei, Columbia University, The Hull-Strominger system over Riemann surfaces
SAS 4201The Hull-Strominger system is a system of nonlinear PDEs describing the geometry of compactification of heterotic strings with flux to 4d Minkowski spacetime, which can be regarded as a generalization of Ricci-flat Kahler metrics coupled with Hermitian Yang-Mills equation on non-Kahler Calabi-Yau 3-folds. In this talk, we present an explicit construction of smooth solutions to…
Travis Scrimshaw, University of Queensland, Towards a uniform model for higher level Kirillov-Reshetikhin crystals
SAS 4201Kirillov-Reshetikhin (KR) modules are a special class of finite-dimensional modules for affine Lie algebras that have deep connections with mathematical physics. One important aspect is that they are conjectured to have crystal bases, which is known except for affine type E and F (and its dual). One of the open problems in KR crystals is…
Departmental Tea and Cookies
SAS 4104Yerkin Kitapbayev, MIT Sloan, Optimal investment strategies for power generation: the value of green energy
SAS 4201This paper examines the investment in and the valuation of power generation projects under uncertainty. The analysis incorporates the possibility of producing from alternative types of fuels, such as renewables (wind) or fossil fuels (gas), hence alternative types of plants/technologies. The model considered in this paper cannot be reduced to a single state variable. It…
Zev Woodstock, NC State, The Gospel of Proximal Calculus: Optimization for non-differentiable problems
SAS 4201This discussion includes an eclectic mix of convex analysis, subdifferential calculus, and nonlinear analysis. We will introduce modern theoretical tools and algorithms used to solve non-differentiable optimization problems across the sciences. This discussion will focus more on the theory, proofs, and analysis (not applications).