Mathematical Sciences

The talk will be on the nature and geometry of the first non-vertical regimes of fall/rise as a function of the disks’ aspect ratio and relative inertia and how global linear stability approaches and direct numerical simulations nicely complement each other to reveal the dynamics of this class of bodies, and more generally to help us improve our understanding of instabilities in fluid-structure interactions problems.

The talk will be on the d -dimensional torus using matrices in SL(d,Z).

The talk will be on the following natural question: given a number alpha in R, how well can alpha be approximated by a rational p/(q_1q_2) with q_1,q 2< ?(Q)? The proof uses a new measure classification theorem.

The talk will be on the connection between the study of integer points and homogeneous dynamics.

This conference deals with application of scientific and mathematical methods to the study and analysis of problems involving complex systems.

This summer school aims to equip young researchers with skills required to use modern computational tools and to provide them a platform to interact with experts from different mathematical fields, including computer algebra systems.

The program will showcase an array of techniques employed to investigate Zariski-dense subgroups but the focus will be on the use of methods from algebraic and analytic number theory and arithmetic theory of algebraic groups.

The aim of the program is to familiarise and enthuse younger researchers in India about the latest advances in the subject with a particular emphasis on computational aspects of (co)homological, combinatorial and polynomial invariants of knots.

The workshop has been designed to introduce the participants to different facets of additive combinatorics such as the Ramsey theory, inverse problems, polynomial methods, sum-free sets and more. It will also touch upon topics such as the work of B. Green and T. Tao, on long arithmetic progressions in the primes and Sieve methods from number theory.

The course will focus on the interplay between the linear representations of the fundamental groups and to achieve the goal using the notion of 'special' manifolds, which generalise rational and elliptic curves.