Explicit theta correspondence for (O(p,q),Sp(2n,R)) with p + q = 4
Speaker(s): Dr. Xiang FAN (School of Mathematical Science, PKU)
Time: 00:00-00:00 April 7, 2015
Venue: Room 77201 at #78 courtyard, Beijing International Center for Mathematical Research
Speaker: Dr. Xiang FAN (School of Mathematical Science, PKU)
Time: 14:00--15:00, 7 April
Place: Room 77201 at #78 courtyard, BICMR
Abstract: In this seminar I will introduce the main results of my PhD thesis: a full and explicit description of the local theta correspondence for the reductive dual pairs (O(p,q),Sp(2n,R)) with p + q = 4 for all n, in terms of Vogan’s version of Langlands parameters. As a by-product, we get an explicit version of Induction Principle to compute the local theta correspondence.