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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

Mathematics Colloquium – Shadi Tahvildar-Zadeh (Rutgers)

Phillips Hall 332

Spectral lines of general-relativistic hydrogen Abstract. After reviewing basics of the spectral theory for non-relativistic quantum-mechanical Hamiltonians of hydrogenic ions, I discuss what impact the incorporation of additional effects such as special relativity, anomalous magnetic moment for the electron, and … Read more

Mathematics Colloquium – Thomas Haines (UMaryland)

Phillips Hall 332

Galois actions on cohomology of algebraic varieties Abstract. This talk will be an overview of a few big open problems which are of great importance in arithmetic algebraic geometry, number theory, and representation theory. The focus will be on the … 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 – 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

Analysis and PDE Mini-School – Gigliola Staffilani (MIT)

The 2024 UNC PDE Mini-school will feature a series of lectures by Gigliola Staffilani from MIT.  We will have additional complementary "satellite" talks by Gonzalo Cao-Labora (MIT), Felipe Hernandez (MIT), and Xueying Yu (Oregon State University). Analysis and PDE Mini-School Website … 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