Events
H.T. Banks, North Carolina State University, Population Models-The Prohorov Metric Framework and Aggregate Data Inverse Problems
SAS 4201We consider nonparametric estimation of probability measures for parameters in problems where only aggregate (population level) data are available. We summarize an existing computational method for the estimation problem which has been developed over the past several decades. Theoretical results are presented which establish the existence and consistency of very general (ordinary, generalized and other)…
Juanita Pinzon-Caicedo, NC State, Instanton and Heegaard Floer homologies of surgeries on torus knots
SAS 2102A Floer homology is an invariant of a closed, oriented 3-manifold Y that arises as the homology of a chain complex whose generators are either the set of solutions to a differential equation or the intersection points between Lagrangian manifold, and its differential arises as the count of solutions of a differential equation on Y…
Tea and Cookies
SAS 4104Randall LeVeque, University of Washington, Adjoint Error Estimation for Adaptive Refinement of Hyperbolic PDEs
SAS 1102Time-dependent hyperbolic partial differential equations can be efficiently solved using adaptive mesh refinement, with a hierarchy of finer grid patches in regions where the solution is discontinuous or rapidly varying. These patches can be adjusted every few time steps to follow propagating waves. For many problems the primary interest is in tracking waves that reach…
Phillip Andreae, Meredith College, Infinite sums, infinite products, and million dollar prizes
SAS 2102In calculus, we study series and learn how to add infinitely many numbers--but how about multiplying infinitely many numbers? In this talk, we'll start with familiar series from calculus, and then move on to study more exotic infinite sums and infinite products and the interactions between them. We'll see some number theory, complex analysis, and…
Adam Marcus, Princeton University, Ramanujan colorings
An important construction for (the information theoretic version of) semantic security is a "Biregular Irreducible Function" (BRI). These can be constructed from a complete biregular graph on $2^k d \times 2^k d$ by by coloring it with $2^k$ colors in such a way that each vertex has degree $d$ in each color. Good BRI's are…
Triangle Lectures in Combinatorics
Wake Forest University in Winston-Salem, NCUpcoming meeting: Saturday, March 30, 2019 Location: Wake Forest University in Winston-Salem, NC Lecture Hall: Manchester 16 More information: https://wp.math.ncsu.edu/tlc/ Speakers: James Haglund, University of Pennsylvania Adam Marcus, Princeton University Jennifer Morse, University of Virginia Nathan Reading, North Carolina State University Registration and funding applications: To register and/or apply for funding, please fill out this form. If you have…
Kwangil Koh Reception
SAS Hall LobbyKwangil Koh Lecture: Amie Wilkinson, Illuminating a Mathematical Landscape
SAS 2203Turn on a light in the middle of a room: Is every spot illuminated? If the room is a complicated labyrinth, then probably not, but what if the walls of the room are mirrors? Amie Wilkinson of the University of Chicago will deliver the Department of Mathematics Kwangil Koh Lecture on Mathematics in Our Time through…
Alexander Kiselev, Duke University, Small scale formation in ideal fluids
SAS 4201The incompressible Euler equation of fluid mechanics describes motion of ideal fluid, and was derived in 1755. In two dimensions, global regularity of solutions is known, and double exponential in time upper bound on growth of the derivatives of solution goes back to 1930s. I will describe a construction of example showing sharpness of this…
Alex Chandler, NC State, Spectral Sequences Working Seminar
Spectral sequences in Khovanov homology.
Sherli Koshy-Chenthittayil, University of Connecticut, Mathematical modeling in biological scenarios
My research has been in two broad areas namely mathematical biology and disability studies. This talk will touch upon three of my projects in mathematical biology and one project in disability studies. The mathematical biology section will cover the work I have done in investigating permanence (species in a system are at a safe threshold…
Jonathan Hanselman, Princeton, The cosmetic surgery conjecture and Heegaard Floer homology
Duke University, Physics 119The cosmetic surgery conjecture states that no two surgeries on a given knot produce the same 3-manifold (up to orientation preserving diffeomorphism). Floer homology has proved to be a powerful tool for approaching this problem; I will survey partial results that are known and then show that these results can be improved significantly. If a…