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Applied Math Seminar – Yuanzhen Shao (University of Alabama)
ZoomTitle: Variations of the sharp interfaces in multiphase problems - Part IV Abstract: In the first part of the talk, we will show the existence of a minimizer for a minimal surface problem with prescribed mean curvature and obstacle. In the second part, we will focus on the question whether the minimizing surface enjoys enough
Applied Math Seminar – Yi Sun (University of South Carolina)
ZoomTitle: Kinetic Monte Carlo Simulations of Multicellular Aggregate Self-Assembly in Biofabrication Abstract: We present a three-dimensional lattice model to study self-assembly and fusion of multicellular aggregate systems by using kinetic Monte Carlo (KMC) simulations. This model is developed to describe and predict the time evolution of postprinting morphological structure formation during tissue or organ maturation in
Colloquium – Gordana Todorov (Northeastern University)
ZoomTitle: Friezes, Quiver Representations and Cluster Theory Abstract: After cluster algebras were introduced by Fomin and Zelevinsky, there were many new connections found among many fields of mathematics: combinatorics, representation theory, quiver representations, non-commutative algebra, poisson theory and much more. Friezes were introduced by Conway and Coxeter as a very combinatorial notion. Since the introduction of cluster
Colloquium – Peter Johnson (University of Virginia)
ZoomTitle: A zero surgery obstruction from involutive Heegaard Floer homology Abstract: A fundamental result in 3-manifold topology due to Lickorish and Wallace says that every closed, oriented, connected 3-manifold can be obtained by surgery on a link in the 3-sphere. One may therefore ask: which 3-manifolds can be obtained by surgery on a link with
Colloquium – Wilfrid Gangbo, UCLA
ZoomTitle: Analytical Aspects of Mean Field Games Abstract: We highlight the isometry between the set of probability measures and the quotient of a Hilbert space. This allows to see that some important operators, such as the common noise operator in Mean Field Games, are nothing but partial Laplacians. We introduce to the so-called master equation
Analysis Seminar – Tess Anderson (Purdue University)
ZoomTitle: Dyadic analysis (virtually) meets number theory Abstract: In this talk we discuss two ways in which dyadic analysis and number theory share a rich interaction. The first involves a complete classification of "distinct dyadic systems". These are sets of grids which allow one to compare any Euclidean ball nicely with any dyadic cube, and
Analysis Seminar – Tess Anderson (Purdue University)
ZoomTitle: Dyadic analysis (virtually) meets number theory Abstract: In this talk we discuss two ways in which dyadic analysis and number theory share a rich interaction. The first involves a complete classification of "distinct dyadic systems". These are sets of grids which allow one to compare any Euclidean ball nicely with any dyadic cube, and
Applied Math Seminar – Yuanzhen Shao (University of Alabama)
ZoomTITLE: Variations of the sharp interfaces in multiphase problems - Part III ABSTRACT: We will continue with the discussion in Part II and derive the first variation of the polar solvation energy of an implicit solvation model. In the rest of this series of talk, we aim at answering the question whether the minimizer of the
Colloquium – Lisa Traynor (Bryn Mawr)
ZoomTitle: Legendrian Torus and Cable Links Abstract: In contact topology, an important problem is to understand Legendrian submanifolds; these submanifolds are always tangent to the plane field given by the contact structure. In fact, every smooth knot type will have an infinite number of different Legendrian representatives. A basic problem is to give the “Legendrian
Analysis Seminar – Hengrong Du (Purdue University)
ZoomTitle: Suitable weak solutions of the Ericksen--Leslie system for nematic liquid crystal flows Abstract: In this talk, we will discuss the Ericksen--Leslie system modeling the hydrodynamics of nematic liquid crystals. It is a strongly coupled PDE system between incompressible Navier--Stokes equations for the underlying fluid velocity field and gradient-flow-like equations for the director field describing