Seminars

Langlands L-functions and counting geodesic cycles in complexes

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Seminars

Wen-Ching Li

2016-04-15
13:30:00 - 14:30:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)



The Zeta function of an algebraic variety counts points. The Selberg zeta function counts closed geodesic cycles on a compact Riemann surface. For combinatorial objects like graphs and complexes, their zeta functions count closed geodesic cycles. In this talk we shall explain how the Langlands L-function arises naturally in the combinatorial zeta function for the 2-dimensional complex which is a finite quotient of either an apartment or the building attached to PGL(3) or PGSp(4).