Chennai Mathematical Institute

Seminars




Every Tuesday, 1:45 - 3:20 pm with a 5-minute break. Location: Seminar Hall
Random Talks - Lecture Series
A proof of uniformization - First Talk

M.S. Raghunathan
NCM, Mumbai.
16-01-18


Abstract

Prof. M. S. Raghunathan (NCM, Mumbai) will give a series of talks titled "Random Talks" starting Tuesday, January 16, 2018. The talks will be on diverse mathematical topics with a focus on an interesting theorem. The talks will be of 1.5-hour duration with a 5-minute break and will be given every Tuesday.

Time: Every Tuesday, 1:45 - 3:20 pm with a 5-minute break. Location: Seminar Hall

Details for the first talk of the series are as follows.

Date: Tuesday, January 16, 2018.

Title: A proof of uniformization.

Abstract: I will sketch a proof of the uniformzation theorem for Riemann surfaces. The theorem says in particular that any smooth surface carries a metric of constant curvature. There is no hope of proving any such result in higher dimensions. In fact even the question whether there exists a compact manifold of constant curvature is delicate. The answer (in the affirmative) employs some sophisticated arithmetic and this will be described in the second half of the talk.





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