American Institute of Mathematics, Palo Alto, California
Wee Teck Gan, Stephen Kudla, and Yuri Tschinkel
Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. But the Eisenstein series themselves are often treated as auxillary objects. For example, in the classic work of Gross and Zagier leading to the Gross--Zagier formula, the critical role played by the derivative of a certain Eisenstein series is seldom emphasized. This workshop will focus on the Eisenstein series which arise in several recent developments in arithmetic:
Different users of Eisenstein series often focus on different aspects of the theory. By bringing together users from rather different areas who do not usually interact with each other, the workshop will provide participants with an exposure to unfamiliar ways in which Eisenstein series have been used. This juxtaposition of perspectives should provide deeper insight into the arithmetic of Eisenstein series. and foster fruitful new collaborations.
The workshop schedule.
A report on the workshop activities.