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February 2017

Nick Battista (UNC-CH), GMA Seminars

February 27 @ 4:00 pm - 5:00 pm

Title:  Fluid-structure interaction for the people! Abstract:  The development of fluid-structure interaction (FSI) software involves trade-offs between ease of use, generality, performance, and cost. Typically there are large learning curves when using low-level software to model the interaction of an elastic structure immersed in a uniform density fluid. Many existing codes are not publicly available, and the commercial software that exists usually requires expensive licenses and may not be as robust or allow the necessary flexibility that in house codes can…

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March 2017

Michael Goldberg (), Analysis Seminar

March 8 @ 4:00 pm - 5:00 pm

Title:  TBA Abstract:  TBA

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David Share (), Analysis Seminar

March 22 @ 4:00 pm - 5:00 pm

Title:  TBA Abstract:  TBA

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Steve Wise (University of Tennessee, Knoxville), Applied Mathematics Colloquium

March 24 @ 4:00 pm - 5:00 pm

Title:  TBA Abstract:  TBA

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Mikhail Khovanov (Columbia University), Brauer Lectures

March 29 @ 3:30 pm - 4:30 pm

Overall title of the Brauer Lecture Series 2017: Link homology and categorification Lecture 1 Title:   The Jones polynomial of links and tangles and its categorification.   Abstract: The Jones polynomial is a celebrated invariant of links with roots in the representation theory of quantum groups and the Chern-Simons theory. It's a one-variable Laurent polynomial, and we will describe its lifting to a bigheaded link homology theory. Functoriality of the theory will be explained, together with several applications in low-dimensional topology.

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Almut Burchard (), Analysis Seminar

March 29 @ 4:00 pm - 5:00 pm

Title:  TBA Abstract:  TBA

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Mikhail Khovanov (Columbia University), Brauer Lectures

March 30 @ 3:30 pm - 4:30 pm

Lecture 2 Title: Categorifications of quantum link invariants   Abstract: The Jones polynomial has many generalizations, including the two-variable HOMFLYPT polynomial. We will review approaches to the categorification of the HOMFLYPT polynomial and its specializations. Several new ideas proved crucial, including evaluating foams (two-complexes embedded in 3-space) via systems of Frobenius algebras that come from cohomology rings of flag varieties and constructing functorial tangle invariants via matrix factorizations. Matrix factorizations are generalized complexes with the square of the differential equal…

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Mikhail Khovanov (Columbia University), Brauer Lectures

March 31 @ 3:30 pm - 4:30 pm

Lecture 3 Title: Categorification of quantum groups at generic q and at a root of unity   Abstract: Quantum link invariants naturally emerge from actions of quantum groups on tensor powers of their irreducible representations. Categorifications of quantum groups and how they fit into link homology theories will be explained. Categorified quantum groups act on many categories of interest in representation theory and adjacent fields. The quantum parameter q, in the generic situation, becomes a grading shift upon categorification. For…

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April 2017

Chuan-Hua Chen (Duke University), Applied Mathematics Colloquium

April 7 @ 4:00 pm - 5:00 pm

Title:  TBA Abstract:  TBA

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William Minicozzi (), PDE Minischool

April 12 @ 8:00 am - April 13 @ 5:00 pm

Title:  TBA Abstract:  TBA

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