|Si Li||Yau Mathematical Sciences Center (YMSC), Tsinghua University|
Bio: Si Li got his Ph.D. in mathematics from Harvard University in 2011. He is currently professor at Yau Mathematical Sciences Center (YMSC), Tsinghua University. He works on algebraic and geometric aspects of quantum field theory and string theory.
Quantization and Index Theory.
In the first part, we introduce some basic ideas and various recent mathematical developments about quantization that arises from quantum field theory and string theory. In the second part, we discuss several applications to geometry and topology. In particular, we present an effective quantization theory for 2d chiral field theories, and explain its connection with elliptic chiral homology of chiral algebras and index theory.
|Alexander Tyulenev||Steklov Mathematical Institute of RAS|
Korevaar–Schoen's energy on strongly rectifiable spaces.
We extend Korevaar-Schoen’s theory of metric valued Sobolev maps to cover the case of the source space being an RCD-space. When the target space is CAT(0) we establish that the corresponding energy functional is convex, lower semicontinuous and admits a unique minimizer, in line with the smooth situation. The talk is based on the joined work:
Nicola Gigli, Alexander Tyulenev, “Korevaar–Schoen's energy on strongly rectifiable spaces”, Calc. Var. Partial Differential Equations, 60 (2021), 235, 54 pp., arXiv: 2002.07440
The meeting will be held in the form of a webinar on the Zoom platform.
Pre-registration for the event is not required.
To join Zoom meeting（You can join in the meeting without a phone number):
Meeting ID : 849 6024 6303