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Quantum Symmetry Seminar - Srivatsav Kunnawalkam Elayavalli

Ohio State Garden of Constants
September 19, 2024
1:50 pm - 3:00 pm
Math Tower (MW) 152

Srivatsav Kunnawalkam Elayavalli
UC San Diego

Title
Internal structure of free group factors

Abstract
I will describe recent joint work with David Jekel (2404.17114) which discovers a new upgraded free independence phenomenon in the ultrapower of free group factors, and as applications proves new results about free group factors, generalizing vastly and recovering with new proof several prior works done by Popa, Houdayer, Ioana, etc in the contexts of maximal amenability, absorption, gamma stability, freeness of commutants etc. The results also recover with a new proof the Hayes-Jekel-Nelson-Sinclair absorption theorem for strongly 1-bounded vN subalgebras in free products. Applications to the elementary equivalence problem for non Gamma factors are also presented.

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Seminar - Quantum Symmetry