Events
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Kwangil 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…
TAGMaC 2019
Please visit https://amsncsu.wordpress.ncsu.edu/tagmac19/ for more information
Jeaman Ahn, Kongju National University, Multivariate Hermite Interpolation via Explicit Groebner Basis
Multivariate Hermite interpolation problem asks to find a "small" polynomial that has given values of several partial derivatives at given points. It has numerous applications in science and engineering. Thus, naturally, it has been intensively studied, resulting in various beautiful ideas and techniques. One approach is as follows. (1) Chooses a basis of the vector space of interpolating polynomials.…
Atman Vachhani, Mathematics IT, Today’s safe computing practices
This Wednesday, April 10th, from 11AM-12PM in SAS Hall room 4201, Atman Vachhani from Mathematics IT will be leading an interactive seminar on today's safe computing practices. You'll have the opportunity to walk through some basic, and some not so basic ways to make sure you and your data stay safe on the open web. Regardless…
Chris Scaduto, Simons Center for Geometry & Physics, Instantons and lattices of smooth 4-manifolds with boundary
Given a 3-manifold Y, what are the possible definite intersection forms of smooth 4-manifolds with boundary Y? Donaldson's theorem says that if Y is the 3-sphere, then all such intersection forms are standard integer Euclidean lattices. I will survey some new progress on this problem, for other 3-manifolds, that comes from instanton Floer theory.
Wen Shen, Penn State University, Scalar Conservation Laws with Discontinuous and Regulated Flux
SAS 4201Conservation laws with discontinuous flux functions arise in various models. In this talk we consider solutions to a class of conservation laws with discontinuous flux, where the flux function is discontinuous in both time and space, but regulated in the two variables. Convergence and the uniqueness of the vanishing viscosity limit for the viscous equation…
Anila Yadavalli, NC State, A curvy way to send messages
SAS 2102Need a more private way of sending notes to your friends during class? Elliptic Curve Cryptography is a method of sending secure messages using tools from algebra and geometry. In this talk, I will introduce some of the ideas behind this encryption scheme originally introduced by Diffie and Hellman. This talk will be accessible to…
Tea and Cookies
SAS 4104Sergey Fomin, University of Michigan, Morsifications and Mutations
SAS 1102I will discuss a new and somewhat mysterious connection between singularity theory and cluster algebras, more specifically between the topology of isolated singularities of plane curves and the mutation equivalence of quivers associated with their morsifications. The talk will assume no prior knowledge of any of these topics. This is joint work with Pavlo Pylyavskyy,…
Juan Villarreal, Virginia Commonwealth University, Logarithmic singularities in vertex algebras
In this talk we want to consider a different kind of singularities in logarithmic vertex algebras. In vertex algebras many properties arise from the locality of their fields. In particular, this implies the expansion of their brackets into a base of delta function and its derivatives. On the other hand some examples in physics lead us to consider some non-local…
Pierre Degond, Imperial College, London, Mathematical models of collective dynamics and self-organization
In this talk, I will review some mathematical challenges posed by the modeling of collective dynamics and self-organization. Then, I will focus on two specific problems, first, the derivation of fluid equations from particle dynamics of collective motion and second, the study of phase transitions and the stability of the associated equilibria.
Jacek Brodzki, Centre for Geometry, Topology, and Applications, Southampton, Persistence in action: quantifying the topology of lungs
Cox 306Topology is dedicated to the study of shapes, and its starting point is an easy-sounding question: How can I tell if two objects are similar? While humans are very adept at distinguishing a large variety of shapes, it is not always easy to say precisely what makes this object similar to or distinct from that…
Aida Maraj, University of Kentucky, Quantitative Properties of Ideals arising from Hierarchical Models
SAS 4201We will discuss hierarchical models and certain toric ideals as a way of studying these objects in algebraic statistics. Some algebraic properties of these ideals will be described and a formula for the Krull dimension of the corresponding toric rings will be presented. One goal is to study the invariance properties of families of ideals…