I will discuss in this talk why it is essential to have equity and inclusion in the practice of science and  how it  benefits science as well. I will specialise to some extent, to case of Gender inequity. I will then review the Equity and Inclusion discussions in  the Science, Technology and Innovation Policy released recently - STIP-2020 and the measures suggested therein. I will end by commenting what all of us, individuals, institutions and society can do in this context. Zoom: https://zoom.us/j/98064379891?pwd=RzJTUDhVUWlaZHdTWEc5aXk4VSs3UT09 YouTube: https://www.youtube.com/watch?v=vgVRQDaAdcs Poster: https://www.imsc.res.in/akam/

Every modern computer---be it a desktop or a supercomputer---uses hierarchical memory. One of the crucial characteristics of any memory hierarchy is that there is a small, fast memory, followed by a large, slow memory (possibly followed by more levels). Data is served to the processor from the small, fast memory. The small, fast memory is a scarce resource, and efficiently managing it is crucial to high performance. Sharing the small and fast memory among multiple processors gives rise to many challenges. In this talk, I will give an overview of these challenges and of the recent progress that has been made in addressing them. Classical problems such as paging have been very well understood in the sequential setting for decades. However, the paging problem has remained wide open for more than two decades in the parallel setting. In the parallel paging problem, p processors share a cache (small, fast memory) of size k. The goal is to partition the cache among the processors over time to minimize their average completion time. I will present tight upper and lower bounds of \Theta(\log p) on the competitive ratio with O(1) resource augmentation. I will then extend the theory of parallel paging to a new kind of multilevel-memory system, called high-bandwidth memory, which is common in new supercomputers.

In this course, I plan to explain the classical theory: interpolation formula for polynomials involving its derivatives of even order at $0$ and $1$; definition of Lidstone polynomials. Differential equation, inductive formula. Expansion formula for entire functions of exponential type $<\pi$. Generating series. Expansion for functions of finite exponential type.

TBA

The modern theory of second order phase transitions (critical phenomena) lays at the crossroads of condensed matter physics, statistical mechanics and high-energy physics. The general ideas and the main applications of this theory are known since several decades, but the fact that systems with gauge symmetries can present peculiar behaviours has been fully appreciated only relatively recently. In this talk I will provide an introduction to the problematics connected with the presence of gauge symmetries, using as test-bed some paradigmatic lattice models which can be numerically studied by mean of Monte Carlo simulations, to investigate their critical behavior.