CUNY GC Harmonic Analysis and PDE Seminar

Organizers: Han Li, Weilin Li, Vincent Martinez, Azita Mayeli

Friday, 1:00-3:00pm EST, (GC 6421, hybrid format; please email vrmartinez-at-hunter-dot-cuny-dot-edu or amayeli-at-gc-dot-cuny-dot-edu for passcode)

This seminar was initiated by Azita Mayeli and running continuously since 2012. The seminar mainly hosts speakers in the fields of harmonic analysis and the analysis of partial differential equations. Topics of interest include, but are not limited to, sampling and frames theory, Riesz bases and signal processing, Fuglede Conjecture, singular integral theory, oscillatory integral operators, restriction and Kakeya-type estimates, decoupling, analysis in data science, dispersive equations, hydrodynamic equations, the mathematics of turbulence, regularity theory, stochastic PDEs, ergodic theory, long-time behavior of dynamical systems. If you would like to present a talk or added to our mailing list, please contact one of the corresponding co-organizers.

Spring 2023 Schedule

January 27

Hiatus


February 3 Zoom (Recording)

Kevin D. Stubbs (Institute of Pure and Applied Mathematics, UCLA)

A Mathematical Invitation to Wannier Functions

Wannier functions, first proposed in the 1930s, have had a long history in computational chemistry as a practical means to speed up calculations. Stated in a mathematical language, Wannier functions are an orthonormal basis for certain types of spectral subspaces which are generated by the action of a translation group. In the 1980s however, it was realized that there is an intimate connection between Wannier functions and topology. In particular, Wannier functions with fast spatial decay exist if and only if a certain vector bundle is topologically trivial. Materials with non-trivial topology host a number of remarkable properties which are robust to physical imperfections. In this talk, I will give a brief introduction to topological materials and Wannier functions in periodic systems. I will then discuss my work on extending these results to systems without any underlying periodicity.


February 10 Zoom

Philip Greengard (Columbia University, Department of Statistics)

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February 17 Zoom

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February 24 Zoom

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March 3 Zoom

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March 10 Zoom

Fushuai Jiang (Univeristy of Maryland, Department of Mathematics)

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March 17 Zoom

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March 24 Zoom

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March 31 Zoom

Michael Perlmutter (UCLA, Department of Mathematics)

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April 7

Hiatus


April 14 Zoom

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April 21 Zoom

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April 28 Zoom

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May 5 Zoom

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May 12 Zoom

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Past Seminars

Fall 2022
 

Spring 2022
 

Fall 2021
 

Pre Fall 2021
 

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