Graduate Seminars on Automorphic Forms and Trace Formulas Topic: Automorphic Forms and Trace Formulas Speakers: Chen Xianghua, Huo Chuanfa, Ji Guanghua, Li Taiyu, Liu Liang, Liu Zhixin, Yang Xingang Venue: Room 202 Time: 18:30--21:30, Sunday, Fall, 2007 Abstract: We are going to introduce basic notions and objects for the theory of automorphic forms and trace formulas. In particular, the seminar will cover holomorphic modular forms, Maass wave forms, Hecke operator, automorphic L-functions, spectral decompositition, Selberg trace formula, sums of Kloosterman sums and Kuznetsov's trace formula. For the most part, we will follow Iwaniec and Kowalski's book: Analytic number theory, chapter 14, 15,16 and Yangbo Ye's book: Modular forms and trace formula, chapter 1, 2, 3. All are welcome! Online resources in this topic. Daniel Bump, Spectral Theory and the Trace Formula http://match.stanford.edu/bump/trace.pdf Selberg trace formula and zeta functions http://www.secamlocal.ex.ac.uk/people/staff/mrwatkin/zeta/physics4.htm Steve Gelbart, Lectures on the Arthur-Selberg trace formula http://www.arxiv.org/PS_cache/math/pdf/9505/9505206v1.pdf Jens Marklof, Selberg's trace formula: an introduction http://www.arxiv.org/PS_cache/math/pdf/0407/0407288v1.pdf