$\vec{w}h\alpha\mathfrak{t}\;\; i\mathbb{S}\ldots$

the Riemann-Hurwitz formula?

Dominik Gutwein (HU Berlin)
2022/02/22, 16:15
Before the BMS Days' talk by Prof. Thomas Walpuski
Due to the current situation, the talk takes place online, via zoom. The meeting link has been sent out via the usual mailing lists; please contact the organisers if you have not received the email and would like to join the talk.
About what?

In differential geometry there are many interesting connections between the 'shape' of geometric objects and analytical properties of maps between them. One relatively simple but useful example is the Riemann-Hurwitz formula. In this talk I will outline the main concepts behind this formula, starting with that of two-dimensional geometric spaces called surfaces. I will then discuss holomorphic functions, the Euler characteristic, and how said formula relates these two.