Mon, November 9, 2020
Public Access

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Category: All

09
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11:00am [11:30am] Lovy Jain
Description:
Date and Time: Monday, 09 November, 11.30am Speaker: Lovy Jain Title: Lax-Milgram lemma and its applications Abstract: Lax-Milgram lemma is an effective tool in checking the well-posedness of a weak formulation. Derived from basic theorems of functional analysis, it saves hectic calculations that serves the purpose otherwise in differential equations' analysis. Google Meet Link: https://meet.google.com/afe-nzqz-sgt

12:00pm  
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4:00pm [4:00pm] Nihar Gargava, EPFL
Description:
Speaker: Nihar Gargava, EPFL Time: Monday 9th November 4 to 5pm (joining time 3.45 pm IST) Google Meet Link: https://meet.google.com/qvo-kduy-yco Title: Asymptotic Lower Bounds on Sphere Packing Efficiency of Lattices Abstract: In 1945, Siegel showed that the expected value of the lattice-sums of a function over all the lattices of unit covolume in an n-dimensional real vector space is equal to the integral of the function. In 2012, Venkatesh restricted the lattice-sum function to a collection of lattices that had a cyclic group of symmetries and proved a similar mean value theorem. Using this approach, new lower bounds on the most optimal sphere packing density in n dimensions were established for infinitely many n. We will discuss this result, and some surrounding literature. The talk will only assume the knowledge of Haar measure.

5:00pm  
6:00pm