Mon, August 20, 2018
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August 2018
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3:00pm [3:30pm] Atharva Korde
Lie Theory Seminar Speaker: Atharva Korde Title: Cartan's theory of the highest weight and Verma modules Day and Date: Monday, August 20 Time: 15:30 - 17:00 Venue: Room Ramanujan Hall, 2nd floor, Department of Mathematics Abstract: Finite dimensionality of Verma modules and the Weyl character formula.

5:00pm [5:15pm] Venkitesh Iyer
Popular Lecture in Mathematics Date & Time: Monday 20th August 2018 at 5:15 PM. Venue: Ramanujan Hall Speaker: Venkitesh Iyer Title: A Fixed Point Theorem and a Coloring Lemma Abstract: The Sperner Lemma is a combinatorial lemma that talks about a certain type of coloring (called the Sperner coloring) of a triangulation of a simplex. It has applications in several root-finding and fair-division algorithms. The Brouwer Fixed Point Theorem is a classical theorem that asserts the existence of a fixed point for a continuous function from the unit disc in Euclidean space to itself. There are several proofs for each of these results. In this talk, we will show that both these results are equivalent. We will look at the proof in the case of two dimensions. The general case is similar modulo some more careful book-keeping. [We encourage all MSc, Ph.D and UG students to attend. Note tea and snacks will be served before the talk at 5:00 PM.]