Lecture Room B, 4th Floor, The 3rd General Building, NTHU
Invited Speakers:
Reyer Sjamaar (Cornell University)
Chi Kwong Fok (NCTS)
()
Organizers:
Nan-Kuo Ho (National Tsing Hua University)
Mao-Pei Tsui (National Taiwan University)
[POSTER download]
Speakers:
Prof. Reyer Sjamaar ( Cornell University )
Dr. Chi-Kwong Fok ( NCTS )
Mr. Hsuan-Yi Liao ( Penn State )
Structure and Preparation:
11:00-12:00 Prof. Reyer Sjamaar ( Cornell University )
12:00-13:30 Lunch Break
13:30-14:30 Dr. Chi-Kwong Fok ( NCTS )
14:30-15:00 Coffee Break
15:00-16:00 Mr. Hsuan-Yi Liao ( Penn State )
Title and Abstract:
Speaker: Reyer Sjamaar
Title:
Convexity properties of presymplectic Hamiltonian actions
Abstract:
I will present a generalization of the convexity theorem of Atiyah, Guillemin-Sternberg and Kirwan, to Hamiltonian Lie group actions on presymplectic manifolds. The result implies convexity theorems for actions on contact manifolds, cosymplectic manifolds, as well as certain symplectic "generalized manifolds". This is joint work with Yi Lin.
Speaker: Chi-Kwong Fok
Title: Equivariant formality of homogeneous spaces
Abstract: In equivariant topology, equivariant formality, first defined by Goresky-Kottwitz-MacPherson in cohomological terms, is a desirable property of spaces with group actions. In this talk we will examine equivariant formality from the perspective of K-theory. This approach is inspired by Harada-Landweber's work on K-theory of symplectic manifolds. We will also apply K-theoretic equivariant formality to give a characterisation of equivariant formality of compact homogeneous spaces G/K with isotropy action of K. Part of this talk is based on joint work with Jeffrey Carlson.
Speaker:Hsuan-Yi Liao
Title: Kontsevich–Duflo theorem
Abstract: In late 1990’s, Kontsevich revolutionized the field of deformation quantization with his formality theorem. Amazingly, it turned out that the classical Duflo theorem is another of the many consequences of Kontsevich’s formality construction. Based Kontsevich’s idea, one can get Duflo-type theorems in different contexts. In this talk, I’ll explain our version of Kontsevich–Duflo theorem for a Lie algebroid pair (i.e. a Lie algebroid together with a Lie subalgebroid).
Contact: Vickey Sun, sunug@math.cts.nthu.edu.tw, 03-5745254