## Time:

## Venue:

We will start basic definitions and examples. We will try to cover Duality in Banach Spaces, Compact operators. If time permits we will see some convexity results known "Separation Theorem" and "Hahn- Banach Theorem".

Speaker:

Sourav Roy, TIFR

Friday, 31 March 2023, 16:00 to 17:00

We will start basic definitions and examples. We will try to cover Duality in Banach Spaces, Compact operators. If time permits we will see some convexity results known "Separation Theorem" and "Hahn- Banach Theorem".

Speaker:

Agniv Bandyopadhyay, TIFR

Friday, 24 March 2023, 14:30 to 15:30

Auto-bidding is a framework of ad auctions where every advertiser can tell their long-term goals, such as budget, target return on spend (RoS), etc., to an auto-bidding agent interface.

Speaker:

Santanu Das, TIFR

Friday, 17 March 2023, 16:00 to 17:30

We examine gradient descent on unregularised logistic regression problems, with homogeneous linear predictors on linearly separable datasets. We show the predictor converges to the direction of the max-margin (hard margin SVM) solution.

Speaker:

Varun Ramanathan, TIFR

Friday, 10 March 2023, 16:00 to 17:00

I will complete a couple of proofs from last week's student seminar on determinantal complexity. I will recall the required background for the proofs. On the way, we will learn a cute linear-algebraic fact.

Speaker:

Varun Ramanathan, TIFR

Friday, 3 March 2023, 16:30 to 17:30

We will introduce the notion of determinantal complexity, one of the main characters in the VP vs VNP question, which is the algebraic analogue of the P vs NP question.

Speaker:

Friday, 24 February 2023, 16:00 to 17:00

Fair division of a set of resources among several agents is a commonly occurring problem in many real-world settings.

Speaker:

Eeshan Modak, TIFR

Friday, 17 February 2023, 16:00 to 17:00

In the composite hypothesis testing setting, the detector receives n i.i.d. samples either from a distribution p∈P or from a distribution q∈Q. It then decides the correct set from which the samples were drawn.

Speaker:

Malhar Ajit Managoli, TIFR

Friday, 10 February 2023, 16:00 to 17:00

Fermat's two square theorem states that:

An odd prime p can be written as a sum of two squares if and only if p = 1 (mod 4)

Speaker:

Shanthanu Suresh Rai, TIFR

Friday, 3 February 2023, 16:00 to 17:00

What is the largest number of edges in a graph of order n and girth g? For d-regular graphs, essentially the best known answer is provided by the Moore bound. This result can be extended to cover irregular graphs as well.

Speaker:

Arghya Chakraborty, TIFR

Friday, 20 January 2023, 16:00 to 17:00

In any tournament between several participants, transitivity is sometimes not satisfied (i.e. A may defeat B, B defeats C and C in turn defeats A). In any case, we shall have to define a winner.