## Past Events

## April 2019

## Jonathan Hanselman, Princeton, The cosmetic surgery conjecture and Heegaard Floer homology

The 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…

Find out more## TAGMaC 2019

Please visit https://amsncsu.wordpress.ncsu.edu/tagmac19/ for more information

Find out more## 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…

Find out more## 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…

Find out more## Brown Bag Lunch

Join us tomorrow Wednesdays 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!

Find out more## 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…

Find out more## Wen Shen, Penn State University, Scalar Conservation Laws with Discontinuous and Regulated Flux

Conservation 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…

Find out more## Anila Yadavalli, NC State, A curvy way to send messages

Need 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…

Find out more## Sergey Fomin, University of Michigan, Morsifications and Mutations

I 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…

Find out more## 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…

Find out more## 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…

Find out more## Jacek Brodzki, Centre for Geometry, Topology, and Applications, Southampton, Persistence in action: quantifying the topology of lungs

Topology 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…

Find out more## Aida Maraj, University of Kentucky, Quantitative Properties of Ideals arising from Hierarchical Models

We 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…

Find out more## Brown Bag Lunch

Join us tomorrow Wednesdays 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!

Find out more## Jen Hom, Georgia Tech, Heegaard Floer and homology cobordism

We show that the three-dimensional homology cobordism group admits an infinite-rank summand. It was previously known that the homology cobordism group contains an infinite-rank subgroup and a Z-summand. The proof relies on the involutive Heegaard Floer homology package of Hendricks-Manolescu…

Find out more## Peter Wolenski, Louisiana State University, Fully convex Bolza problems with state constraints and impulses

In this talk, we shall review the Hamilton-Jacobi theory for A Fully Convex Bolza (FCB) problems when the data has no implicit state constraints and is coercive, in which case the minimizing class of arcs are Absolutely Continuous (AC).

Find out more## Boris Mordukhovich, Wayne State University, Criticality of Lagrange Multipliers in Conic Programming with Applications to Superlinear Convergence of SQP

His talk concerns the study of criticality of Lagrange multipliers in variational systems that have been recognized in both theoretical and numerical aspects of optimization and variational analysis. In contrast to the previous developments dealing with polyhedral KKT systems and…

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