|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Geometric approach to the local Jacquet-Langlands correspondence
If you have a question about this talk, please contact Tom Fisher.
Let F be a p-adic field. The local Jacquet-Langlands correspondence is a natural bijection between irreducible discrete series representations of GLn(F) and irreducible smooth representations of Dx where D is a central division algebra over F. In this talk, under the assumption “inv D = 1/n”, I will explain a geometric approach to construct the bijection. If moreover n is prime, my method provides a purely local proof of the local Jacquet-Langlands correspondence.
This talk is part of the Number Theory Seminar series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsNew Horizons in Toxicity Predictions DTAL Tuesday Colloquia The Audrey Richards Annual Lecture in African Studies
Other talksThe entrenchment of metaphors in scientific practice Autumn Cactus & Succulent Show Mesoscopic Solar Cells And Solar Fuels Stories behind the Stitches: Schoolgirl samplers of the eighteenth and nineteenth centuries Discrete Fourier transform methods in the analysis of nonstationary time series Probabilistic modelling of time-frequency representations with application to music signals