December 2018
Public Access Category: All |
5pm» Nidhi Kaihnsa, Max Planck Institute for Mathematics in the Sciences, Leipzig- Time:
- 5:00pm - 6:15pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Speaker: Nidhi Kaihnsa, Max Planck Institute for Mathematics in the
Sciences, Leipzig.
Time: Tuesday, December 04, 2018, 5-6:15pm.
Venue: Ramanujan Hall.
Title: Computing Convex Hulls of Trajectories.
Abstract: I will talk about the convex hulls of trajectories of polynomial
dynamical systems. Such trajectories also include real algebraic curves.
The boundary of the resulting convex bodies are stratified into families
of faces. I will discuss the numerical algorithms we developed for
identifying these patches of faces. This work is also a step towards
computing the attainable region of a trajectory. This is a joint work with
Daniel Ciripoi, Andreas Loehne, and Bernd Sturmfels.
- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Speaker: Prof. Hugues Verdure, Arctic University of Norway
Title: Higher weight spectra for Veronese codes
Day, Date and Time: Thursday, 6th December 2018, 4 pm
Venue: Ramanujan Hall
Abstract: Verones codes are projective Reed-Muller codes of order 2 in P^2. They are obtained by looking at the Veronese map from P^2 to P^5. We already know the higher weight hierarchy of such codes, but in this talk, we will obtain higher weight spectra of these codes, that is, how many subcodes of given dimension and support there are.
We will use the machinery of matroids, resolutions of Stanley-Reisner rings, and generalized weight polynomials to give our result.
- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Title: THE CENTRAL LIMIT THEOREM IN ALGEBRA AND NUMBER THEORY.
Time: 4-5pm.
Venue: Ramanujan Hall.
Speaker: Prof. M. Ram Murty (Queen's University)
Abstract: The central limit theorem in probability theory expanded its
influence into number theory in the middle of the 20th century. This
began with the celebrated Erdos-Kac theorem which generalized the
classical theorem of Hardy and Ramanujan regarding the "normal" number of
prime divisors of a random integer. Since then, probabilistic number
theory has blossomed into various branches resulting in spectacular
foliage including unexpected applications in algebra. In particular, one
can combine the study of Artin L-series and probabilistic number theory to
derive a central limit theorem for the normal number of prime factors of
Fourier coefficients of modular forms. We will report on this research
along with recent (and not so recent) results obtained in joint work with
V. Kumar Murty,
Arpita Kar and Neha Prabhu.
- Time:
- 5:15pm - 6:15pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Title: Lindelof class of L-functions.
Speaker: Prof. V. Kumar Murty.
Time: 5:15-6:15pm.
Venue: Ramanujan Hall.
Abstract: We define a class of L-functions that properly contains the
Selberg class and which has a natural ring structure. We prove some
properties of this ring, in particular that it is non Noetherian. This is
joint work with Anup Dixit.