Langlands L-functions and counting geodesic cycles in complexes


Wen-Ching Li (Pennsylvania State University, USA )
2016-04-15  13:30 - 14:30
Room 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).