Date and Time: Monday 02 December, 4:00 pm - 5:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Universal optimality of the E8 and Leech lattices.
Abstract: We look at the problem of arranging points in Euclidean space in
order to minimize the potential energy of pairwise interactions. We show
that the E8 lattice and the Leech lattice are universally optimal in the
sense that they have the lowest energy for all potentials that are given
by completely monotone potentials of squared distance.
The proof uses a new kind of interpolation formula for Fourier
eigenfunctions, which is intimately related to the theory of modular
forms.
The talk is based on a joint work with Henry Cohn, Abhinav Kumar, Stephen
D. Miller, and Maryna Viazovska.
Time:
4:00pm-5:00pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
Mathematics Colloquium.
Speaker: Jean-Pierre Raymond.
Affiliation: Universite Paul Sabatier Toulouse, France.
Date and Time: Wednesday 04 December, 4:00 pm - 5:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Analysis of 1D models describing blood flows in the brain.
Abstract: In this talk, we shall review models used to describe blood
flows in the human brain. We shall give new existence, uniqueness and
stability results for some of those models (work in collaboration with D.
Maity TIFR-CAM, Bangalore, and A. Roy, Inria-Lorraine).
We shall address the issue of estimating the pressure from blood flow
measurements, and of the auto regulation phenomenon, which is a natural
stabilisation process.
Time:
4:00pm-5:00pm
Location:
A1A2, CDEEP
Description:
Speaker: Ken Ono.
Affiliation: University of Virginia.
Date and Time: Friday, 06 December 2019, 4.00pm - 5.00pm.
Venue: A1A2, CDEEP.
Note: This is a web-cast through NKN of a lecture at TIFR at the same time.
Title: Why Does Ramanujan, “The Man Who Knew Infinity,” Matter?
Abstract: Srinivasa Ramanujan, one of the most inspirational figures in
the history of mathematics, was an amateur gifted mathematician from lush
south India who left behind three notebooks that engineers,
mathematicians, and physicists continue to mine today. Born in 1887,
Ramanujan was a two-time college dropout. He could have easily been lost
to the world, a thought that scientists cannot begin to absorb. He died
in 1920. Prof. Ono will explain why Ramanujan matters today and will
share several clips from the film, “The Man Who Knew Infinity,”
starring Dev Patel and Jeremy Irons. Professor Ono served as an associate
producer and mathematical consultant for the film.
About the Speaker:
Prof. Ken Ono is the Thomas Jefferson Professor of Mathematics at the
University of Virginia, the Asa Griggs Candler Professor of Mathematics
at Emory University and Vice President of the American Mathematical
Society. He is considered an expert in number theory. His contributions
include several monographs and more than 180 research and popular
articles in number theory, combinatorics and
algebra. He earned his Ph.D. from UCLA and has received many awards for
his research in number theory, including a Guggenheim Fellowship, a
Packard Fellowship and a Sloan Research Fellowship. He was awarded a
Presidential Career Award for Science and Engineering (PECASE) by Bill
Clinton in 2000 and was named a Distinguished Teaching Scholar by the
National Science Foundation in 2005. He is also a member of the US
National Committee for Mathematics and
the National Academy of Sciences. He was an associate producer of the film
“The Man Who Knew Infinity” based on the life of Indian mathematician
Srinivasa Ramanujan.