
 

 Population, Family and Reproductive Health  Faculty Candidate Seminar 12:15 PM  1:20 PM
Bloomberg School of Public Health
Faculty Candidate Seminar
Sr. Faculty Adolescent Health
Center for Adolescent Health Director
The Bloomberg American Health Initiative Endowed Chair
Using Innovation to Improve Reproductive Health Disparities in Adolescents and Young Adults
Maria Trent, MD, MPH
Professor Division of General Pediatrics & Adolescent Medicine
Department of Pediatrics Johns Hopkins School of Medicine
For more information, please contact Deenah Darom. 
 Biostatistics Help: Faculty, Staff, Pre and Post Doc WalkIn Clinic 1:30 PM  2:30 PM
Biostatistics consulting is available to all Johns Hopkins University faculty, staff, pre and post docs conducting clinical and translational research.
1:30 – 2:30 PM
Wolfe Street Building
Room: E3144 
 Yiannis Sakellaridis "Transfer operators between relative trace formulas in rank one." 4:30 PM  5:30 PM
Homewood
Speaker: Yiannis Sakellaridis (IAS/Rutgers Newark)
Abstract: I will introduce a new paradigm for comparing relative trace formulas, in order to prove instances of (relative) functoriality and relations between periods of automorphic forms.
More precisely, for a spherical variety X=H\G of rank one, I will prove that there is an explicit "transfer operator" which transforms the orbital integrals of the relative trace formula for X x X/G to the orbital integrals of the Kuznetsov formula for GL(2) or SL(2), equipped with suitable nonstandard test functions. The operator is determined by the Lvalue associated to the square of the Hperiod integral, and the proof uses a deep theory of Friedrich Knop on the cotangent bundles of spherical varieties. This is part of an ongoing joint project with Daniel Johnstone and Rahul Krishna, who are proving instances of the fundamental lemma. Globally, this transfer will induce an identity of relative trace formulas and global relative characters, translating to an IchinoIkeda type formula that relates the square of the Hperiod to the said Lvalue.
This can be viewed as part of the program of relative functoriality, a generalization of the Langlands functoriality conjecture, predicting relations between the automorphic spectra of two spherical varieties when there is a map between their dual groups. The case under consideration here is the simplest nonabelian case of this, when the dual groups are equal and of rank one. If time permits, I will discuss how the transfer operator here and in a few examples of higher rank where it is known is a "deformation" of an abelian transfer operator obtained by replacing the spherical variety by its asymptotic cone (or boundary degeneration). 
