Events
Ákos Nagy, Duke University, Complex Monopoles
Self-duality equations in gauge theory can be complexified in many inequivalent ways, but there are two obvious options: One can extend Hodge duality in either a complex linear fashion, or…
Shahar Kovalsky, Duke University, Planar surface embeddings and non-convex harmonic maps
Mappings between domains are among the most basic and versatile tools used in the computational analysis and manipulation of shapes. Their applications range from animation in computer graphics to analysis…
Differential Equations and Nonlinear Analysis Seminar: Piermarco Cannarsa, University of Rome “Tor Vergata”, Bilinear control for evolution equations of parabolic type
Recently, in a series of joint papers with F. Alabau-Boussouira and C. Urbani, I have studied the response of an evolution equation on a Hilbert space to the action of…
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SAS 4104Piermarco Cannarsa, University of Rome Tor Vergata, Italy, Propagation of singularities for solutions to Hamilton-Jacobi equations
SAS 1102The study of the structural properties of the set of points at which the viscosity solution of a first order Hamilton–Jacobi equation fails to be differentiable—in short, the singular set—started…
Arvind Krishna Saibaba, NC State, The Mathematics Behind Imaging
SAS 2102From x-ray machines to luggage scanners, our lives depend on imaging devices that let us “see” what is impossible to observe with the naked eye. I will explain some of…
Ella Pavlechko, Visualizing Curves in the Projective Plane
The Italian Renaissance painters began to incorporate perspective into their drawings in the 1400’s, but our eyes naturally understand depth from the 2-dimensional image on the back of our eyeball. It’s this projection…
Jason Brown, Dalhousie University, Independence Polynomials and Their Roots
Independence polynomials are generating functions for the number of independent sets of each cardinality in a graph G. In addition to encoding useful information about the graph (such as the…
Sara Maloni Affiliation, University of Virginia, Mapping class group actions on character varieties
In the first part of the talk we will discuss famous topological and dynamical questions and conjectures about character varieties and the associated action of the mapping class group. In…
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SAS 4104Differential Equations and Nonlinear Analysis Seminar: Cass Miller, UNC, Toward a New Generation of Models to Simulate Two-Fluid Flow in Porous Media
Two fluid flow in porous medium systems is an important application in many different areas of science and engineering. Overwhelmingly, it is necessary to mathematically model the behavior of applications…
Andrew van der Poel, NC State, Reductions & Problems which Computers are Slow to Solve
SAS 2102We all tackle hard problems everyday, like finding a parking spot in the Dan Allen Deck. However, there are special types of problems which are hard even for a computer…
Teaching and Diversity Statements
An afternoon discussion/workshop by Jo-Ann Cohen on preparing teaching and diversity statements for the job search. Note unusual time!
Yerkin Kitapbayev, NC State, American Options Pricing Under Stochastic Volatility Models via Picard Iterations
Daniels 371This paper studies the valuation of American options for a general one-factor stochastic volatility model. Using the local time-space calculus on surfaces we derive an early exercise premium representation for…
Biji Wong, CIRGET, Twisted Mazur Pattern Satellite Knots and Bordered Floer Theory
Bordered Floer theory has proven quite useful for studying satellites. In this talk, I'll discuss how to use gradings in bordered Floer theory to study the Floer thickness, 3-genus, and…
Undergrads Union Grads (UUG) Math Grad School Applications Workshop
SAS 2102UUG is holding a Math Grad School Applications Workshop. We will have a presentation about applying to grad schools in mathematics. We will touch on the topics of personal statements,…
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SAS 4104Roman Shvydkoy, University of Illinois, Chicago, Analytical perspectives on the emergence phenomena in systems of collective behavior
Systems governed by laws of self-organization arise in many different contexts including biology (swarming behavior of animals), social (opinion dynamics, social networks), technological (cosmology, control, robotics), and others. A particular challenge in studying such…