V. GUILLEMIN (MIT) |
A.A. KIRILLOV (Pennsylvania)
The Virasoro group and related complex geometry 1. Infinite-dimensional Lie groups and Lie algebras: main differences between them and finite-dimensional case. 2. Remarkable examples of infinite-dimensional Lie groups and Lie algebras: Vect M = Lie(Diff M), Mg = Map (M, g) = Lie (MG), Kac-Moody algebras and Kac-Petersson groups, Virasoro Lie algebra and Virasoro-Bott group. 3. Coadjoint orbits and representations of some groups listed above. The analog of the flag manifold M for the Virasoro-Bott group. 4. The quantum field approach to the study of the infinite-dimensional homogeneous Kahler manifold M (after Krichever, Zabrodin and Takhtajan). |
MONDAY, OCTOBER 29
1:30 p.m. V. Guillemin "The convexity theorem and moment polytopes" I
3:00 p.m. A.A. Kirillov "The Virasoro group and related complex geometry" I
TUESDAY, OCTOBER 30
1:30 p.m. V. Guillemin "The convexity theorem and moment polytopes" II
3:00 p.m. A.A. Kirillov "The Virasoro group and related complex geometry" II
WEDNESDAY, OCTOBER 31
1:30 p.m. V. Guillemin "The convexity theorem and moment polytopes" III
3:00 p.m. A.A. Kirillov "The Virasoro group and related complex geometry" III
THURSDAY, NOVEMBER 1
1:30 p.m. V. Guillemin "The convexity theorem and moment polytopes" IV
3:00 p.m. A.A. Kirillov "The Virasoro group and related complex geometry" IV