KolloquiumGRK Branching rules for representations of real reductive groups |
Speaker:Jan Frahm, Aarhus University
Location:Mathematisches Institut, Bunsenstr 3-5Sitzungszimmer oder über Zoom: https://uni-goettingen.zoom.us/j/91336854872-Sitzungszimmer -Zoom: https://uni-goettingen.zoom.us/j/91336854872 -Live stream: streaming.math.uni-goettingen.deGras Geo Map
Organizer:Mathematisches Institut
Details:
Branching rules describe how the restriction of an irreducible representation of a group decomposes when restricted to a subgroup. For compact groups, irreducible representations are finite-dimensional and the corresponding branching rules can often be studied by algebraic and combinatorial methods. For non-compact groups, irreducible representations are typically infinite-dimensional, so the corresponding branching problems are of a more analytic nature.
In this talk I will focus on branching problems for unitary representations of real reductive Lie groups and explain how they are related to harmonic analysis and spectral theory of differential operators. Already the restriction of representations of SL(2,C) to SL(2,R) has some interesting features which I will explain in detail.
In this talk I will focus on branching problems for unitary representations of real reductive Lie groups and explain how they are related to harmonic analysis and spectral theory of differential operators. Already the restriction of representations of SL(2,C) to SL(2,R) has some interesting features which I will explain in detail.
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Type:Colloquium
Language:English
Category:Research
External link:https://uni-goettingen.zoom.us/j/91336854872
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Direct link to event:https://events.goettingen-campus.de/event?eventId=844684
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