## Organisers:

## Time:

The fact that the polynomial (x1+...+xn)^d can be written as a poly(n,d)-sum of products of univariates is a consequence of what is popularly known as 'the duality trick' in the algebraic complexity circles.

Speaker:

Anamay Tengse, TIFR

Friday, 9 April 2021, 17:15 to 18:15

The fact that the polynomial (x1+...+xn)^d can be written as a poly(n,d)-sum of products of univariates is a consequence of what is popularly known as 'the duality trick' in the algebraic complexity circles.

Speaker:

Eeshan Modak, TIFR

Friday, 26 March 2021, 17:15 to 18:15

Abstract: Generalization error is the gap between an algorithm's performance on the true data distribution (unknown to us) and its performance on the given dataset (known to us).

Speaker:

Prerona Chatterjee, TIFR

Friday, 12 March 2021, 17:15 to 18:15

Tensor are higher dimensional analogues of matrices and there is a notion of the rank of a tensor (similar to matrices).

Speaker:

Prabhat Kumar Jha, TIFR

Friday, 26 February 2021, 15:00 to 16:00

Games are used to model many instances arising from interaction of more than one computational agent. In program synthesis, existence of strategy is the key in deciding the existence of a program with a given set of specifications.

Abhishek Khetan

Friday, 19 February 2021, 17:15 to 18:15

In this talk we will give a proof of the fact that the two dimensional sphere can be partitioned into finitely many pieces in such a way that a rearrangement of the pieces produces two disjoint copies of the original sphere.

Zoom link:

Speaker:

Siddharth Bhandari, TIFR

Friday, 12 February 2021, 17:15 to 18:15

We will study the Decision-Tree complexity of element distinctness using arbitrary binary gates (an instance of which is comparison gates). Concretely, let $m$ and $n$ be natural numbers with $m>n$.

Speaker:

Vidya Sagar Sharma, TIFR

Saturday, 30 January 2021, 17:15 to 18:15

An undirected graph is chordal if every cycle of length greater than three has a chord: namely, an edge connecting two nonconsecutive vertices on the cycle. A clique of a graph $G$ is any maximal set of vertices that is complete in $G$. Let $G$

Kshitij Gajjar

Friday, 15 January 2021, 17:15 to 18:15

Many graph problems that are NP-hard for general graphs can be solved in polynomial time for planar graphs. We explore the domain of "almost" planar graphs. These are graphs that can be made planar by removing one or two vertices from them.

William K. Moses Jr.

Saturday, 9 January 2021, 10:00 to 11:00

This paper concerns designing distributed algorithms that are singularly optimal, i.e., algorithms that are simultaneously time and message optimal, for the fundamental leader election problem in networks.

Speaker:

Anamay Tengse, TIFR

Friday, 1 January 2021, 17:15 to 18:15

In the late 1990s, a paper by Razborov and Rudich pointed out a barrier towards proving boolean circuit lower bounds.