Tuesday, September 3, 2019
Time  Items 

All day 

4:00pm 
09/03/2019  4:15pm Abstract: The KudlaRapoport conjecture predicts a precise identity between the arithmetic intersection numbers of special cycles on unitary RapoportZink spaces and the derivatives of local representation densities of hermitian forms. It is a key local ingredient to establish the arithmetic SiegelWeil formula, relating the height of generating series of special cycles on Shimura varieties to the derivative of Eisenstein series. We discuss a proof of this conjecture and global applications. This is joint work with Wei Zhang. Location:
LOM 205
09/03/2019  4:15pm Let M be a geometrically finite real rank one locally symmetric manifolds. We will take about the spectrum of the Laplace operator on M. By using the LaxPhilips inequality of the energy form, we will prove that the spectrum is finite in a critical interval which is given by the volume entropy. Location:
DL413
