Abstract:
This is part (1) of a talk on Riemann-Roch theorem. We start with stating the Riemann-Roch theorem, which tells us how many "good meromorphic functions" are on a compact Riemann surface. After stating the formula, we explain the objects that occur in the formula, compact Riemann surface, genus, holomorphic functions, meromorphic functions, meromorphic 1-forms, etc. The other objects (like divisors), applications, etc., will be explained in the part (2). If the time permits, we will connect the relation between meromorphic functions and meromorphic 1-forms. Then, I will give a functional analysis proof of Runge approximation theorem on compact Riemann surfaces to finish part (1) of the talk.
活動日期
2022-10-28 13:00 ~ 2022-10-28 14:00
主講者
梁孟豪 先生
活動地點
綜三 631
參考連結
https://sites.google.com/view/sgsnthu/home
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