## Lecture series by Prof. R. Thangadurai

Prof. R. Thangadurai from Harish-Chandra Research Institute, Prayagraj

will be giving a series of lectures that on the following topics in

transcendental number theory.

(1) Lindemann Weierstrass Theorem and Schanuel's conjecture

(2) Six exponentials theorem

(a) Siegel's lemma

(b) Schwartz lemma

(3) Rational approximations

(a) Dirichlet Theorem

(b) Liouville Theorem

(c) Thue, Siegel and Roth and the Subspace Theorem and it's p-version

for number fields

(d) Borel's Conjecture and a result using subspace theorem

(4) Mahler measure and Lehmer Problem

The schedule is as follows:

Lecture 1 : On 18.1.2023 at 3:30pm (Venue: Block III, Room no. 342)

Lecture 2 : On 19.1.2023 at 10:30am (Venue: Block V, Room no. 344)

Lecture 3 : On 20.1.2023 at 11:00am (Venue: Block III, Room no. 342)

Lecture 4 : On 21.1.2023 at 11:00am (Venue: Block III, Room no. 342)

Lecture 5 : On 23.1.2023 at 11:00am (Venue: Block III, Room no. 342)

Lecture 6 : On 24.1.2023 at 11:00am (Venue: Block III, Room no. 342)