Seminar za unitarne reprezentacije i automorfne forme

Dana 18.06.2025. (srijeda) u 17:15 sati u predavaonici 109 u okviru Seminara za unitarne reprezentacije i automorfne forme,

Gordan Savin, University of Utah održat će predavanje pod naslovom:

Finiteness of big theta for (exceptional) real groups. 

Abstract: In order to obtain a correspondence between representations of two Lie algebras, one needs a vector space with an action of the two Lie algebras.

Then, for each irreducible representation of one Lie algebra, one can define the full lift (also called big-theta). It is a representation of the other Lie algebra. 

Of interest to us are situations when the big theta has finite length with unique quotient. The we have a correspondence of representations of two algebras. 

 Working in this general setting I will explain a strategy to prove that big theta has finite length. 

For certain (quaternionic) exceptional dual pairs this takes us to a problem with quaternionic representations, introduced by Gross and 

Wallach. I will explain what these are, and then how to establish the desired properties. 

This is a joint work with Bakic and Loke.   

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