MS Seminar (Mathematics - String Theory)

Speaker: Masanori Morishita (Kyushu U)
Title: On arithmetic topology and arithmetic Dijkgraaf-Witten theory
Date (JST): Mon, Feb 22, 2021, 13:00 - 14:30
Place: Zoom
Related File: 2632.pdf
Abstract: I will firstly give an overview of arithmetic topology, which investigates the interaction between 3-dimensional topology and number theory. Then I will take up two fundamental questions in the subject. One is the question in 3-dim. topology ``what is a topological analog of the set of all primes ?", suggested by number theory. The other is the question in number theory ``what are arithmetic analogues of Witten invariants ?", suggested by 3-dim. topology. I will discuss some of recent progress on these questions.