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Dr. Andras Juhasz, Oxford – Knot theory and machine learning
ZoomMode: ZOOM Title: Knot theory and machine learning Abstract: The signature of a knot K in the 3-sphere is a classical invariant that gives a lower bound on the genera of compact, oriented surfaces in the 4-ball with boundary K. … Read more
Dr. Katherine Zhiyuan Zhang, NYU – TBA
Phillips Hall 385Mode: In-Person Title: TBA Abstract: TBA
Dr. Sharon Lubkin, NC State – TBA
Phillips Hall 332Mode: In-Person Title: TBA Abstract: TBA
Dr. Xuqiang Qin, UNC-CH – Birational geometry of Beauville-Mukai systems on K3 surfaces
Phillips Hall 385Mode: In-person Title: Birational geometry of Beauville-Mukai systems on K3 surfaces Abstract: A Beauville-Mukai system on a K3 surface is a moduli space of stable torsion sheaves, which admits a Lagrangian fibration given by mapping each sheaf to its support. … Read more
Dr. Yaiza Canzani, UNC-CH – Counting closed geodesics and improving Weyl’s law for predominant sets of metrics
Mode: In-person Title: Counting closed geodesics and improving Weyl’s law for predominant sets of metrics Abstract: We discuss the typical behavior of two important quantities on compact manifolds with a Riemannian metric g: the number, c(T, g), of primitive closed … Read more
Dr. Tong (Tony) Gao, Michigan State University – Applied Mathematics Colloquium
Phillips Hall 332Mode: In-person Title: To be announced Abstract: To be announced
Dr. John Toth, McGill University – Quantitative unique continuation for L 2 -restrictions of eigenfunction sequences
Phillips Hall 385Mode: In-person Title: Quantitative unique continuation for L 2 -restrictions of eigenfunction sequences Abstract: Let (M, g) be a C ∞ compact, Riemannian manifold and uh ∈ C ∞(M) be a sequence of L 2 -normalized Laplace eigenfunctions with (−h … Read more
Dr. Yannick Sire, Johns Hopkins – Geometric variational problems: regularity vs singularity formation
Phillips Hall 332Mode: In-person Title: Geometric variational problems: regularity vs singularity formation Abstract: I will describe in a very informal way some techniques to deal with the existence ( and more qualitatively regularity vs singularity formation) in different geometric problems and their … Read more
Dr. Junliang Shen, Yale – The P=W conjecture for GL_n
Phillips Hall 385Mode: In-person Title: The P=W conjecture for GL_n Abstract: In 2010, de Cataldo-Hausel-Migliorini proposed a conjecture connecting topology of the Hitchin system and Hodge theory of the corresponding character variety via the non-abelian Hodge theory. This conjecture is now referred … Read more
Aidan Young, UNC – Spatial-Temporal Differentiation Theorems
ZoomMode: Zoom Title: Spatial-Temporal Differentiation Theorems Abstract: We present a type of ergodic-theoretic differentiation problem that synthesizes spatial and temporal differentiation problems, creatively termed a spatial-temporal differentiation problem. We describe the problem, and present various convergence results. Based on joint … Read more
Dr. Amarjit Budhiraja, UNC-CH – Numerical Approaches for Computing Quasi-stationary Distributions
Phillips Hall 332Mode: In-person Title: Numerical Approaches for Computing Quasi-stationary Distributions Abstract: Markov processes with absorbing states occur frequently in epidemiology, statistical physics, population biology, and other areas. Quasi-stationary distributions (QSD) are the basic mathematical object used to describe the long-time behavior … Read more