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M. E. Taylor Analysis and PDE Seminar – Peter McGrath (NCSU)

Phillips Hall 385

Eigenvalue Optimization and Minimal Surfaces Abstract. I will discuss a new method, developed in collaboration with M. Karpukhin, R. Kusner, and D. Stern, for constructing minimal surfaces embedded in the 3-sphere and the 3-ball, by equivariant eigenvalue optimization. A main … Read more

Geometric Methods in Rep Theory Seminar – Luke Conners (UNC)

Phillips Hall 385

Row-Column Mirror Symmetry for Colored Torus Knot Homology Abstract. The HOMFLYPT polynomial is a 2-variable link invariant generalizing the celebrated Jones polynomial and other Type A quantum link polynomials. Its construction passes through a Hecke algebra representation of the braid … Read more

Physically Inspired Mathematics Seminar – Marco Castronovo

Phillips Hall 383

Curved Fukaya algebras and the Dubrovin spectrum Abstract: The cohomology ring of a compact symplectic manifold can be deformed by counting pseudo-holomorphic spheres. Fukaya-Oh-Ohta-Ono developed an obstruction theory that explains when Lagrangian submanifolds yield modules over such deformation, based on … Read more

Geometric Methods in Rep Theory Seminar – Jayce Getz (Duke)

Phillips Hall 385

On the Poisson summation conjecture Abstract: Braverman, Kazhdan, Lafforgue, Ngo, and Sakellaridis have conjectured that Fourier analysis on a vector space is but the first example of a larger phenomenon. More generally, one should have Schwartz spaces, Fourier transforms, and, … Read more

M. E. Taylor Analysis and PDE Seminar – Boya Liu (NCSU)

Phillips Hall 385

Recovery of time-dependent coefficients in hyperbolic equations on Riemannian manifolds from partial data. Abstract. In this talk we discuss inverse problems of determining time-dependent coefficients appearing in the wave equation in a compact Riemannian manifold of dimension three or higher. … Read more