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M. E. Taylor Analysis and PDE Seminar – Micah Warren (UOregon)

Phillips Hall 385

A geometric flow towards Hamiltonian stationary submanifolds Abstract. In joint work with Jingyi Chen, we introduce a geometric flow for Lagrangian submanifolds in a Kähler manifold which stays in its initial Hamiltonian isotopy class and is a gradient flow for … Read more

M. E. Taylor Analysis and PDE Seminar – Jeremy Wall (UNC)

Phillips Hall 385

Interior Hessian estimates for singularities of the Lagrangian mean curvature flow Abstract. In this talk, we discuss the history of the Lagrangian Mean Curvature equation beginning with the special Lagrangian equation of Harvey and Lawson. We consider the hypercritical case … Read more

M. E. Taylor Analysis and PDE Seminar – Lizhe Wan (UW-Madison)

Phillips Hall 385

Gravity water waves with constant vorticity at low regularity and balanced energy estimates Abstract. In this talk I will talk about the Cauchy problem of two-dimensional gravity water waves with constant vorticity. The water waves system is a nonlinear dispersive … Read more

Geometric Methods in Rep Theory Seminar – Syu Kato (Kyoto University)

Phillips Hall 385

Algebraic models of semi-infinite flag manifolds Abstract. We first recall the classical Borel-Weil-Bott theorem and examine its representation-theoretic meaning. Then, we exhibit affine analogue of their representation-theoretic meaning and form several schemes. Finally, we identify the resulting schemes with so-called … Read more

M. E. Taylor Analysis and PDE Seminar – Saman Habibi Esfahani (Duke)

Phillips Hall 385

On the Donaldson-Scaduto conjecture. Abstract. Donaldson proposed a new method to study manifolds with special holonomy groups, particularly Calabi-Yau 3-folds and G2-manifolds, utilizing a Lefschetz fibration. Motivated by collapsing G2-manifolds with K3 fibrations in the adiabatic setting, Donaldson and Scaduto … Read more

M. E. Taylor Analysis and PDE Seminar – Zane Li (NCSU)

Phillips Hall 385

Mixed norm decoupling for paraboloids Abstract. In this talk we discuss mixed norm decoupling estimates for the paraboloid. One motivation for considering such an estimate is a conjectured mixed norm Strichartz estimate on the torus. This is joint work with … 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

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

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