- Time:
- 2:30pm-3:45pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
**Topology and Related Topics Seminar**Tuesday, 8 August 2023, 2.30 -3:45 pm

**=========================****Venue:**Ramanujan Hall**Host:**Rekha Santhanam**Speaker:**Priyanka Magar**Affiliation:**IIT Bombay**Title:**Essential Categorical Terms for Stable Homotopy Theory**Abstract:**In this talk, we will explore fundamental categorical terms necessary for understanding the stable homotopy theory. We'll begin by explaining the concept of a model category and its implications. Subsequently, we'll cover key terms like homotopy category and Quillen adjunction functors, etc

- Time:
- 3:30pm
- Location:
- Room No. 215, Department of Mathematics
- Description:
Commutative Algebra Seminar

Tuesday, August 8, 2023, 3:30 pm

------------------------------------------

Venue: Room 215

Host: Tony Puthenpurakal

Speaker: Tony Puthenpurakal

Affiliation: IIT Bombay

Title: Triangulated and Derived Categories I

Abstract: We give an introduction to Triangulated categories.

- Time:
- 3:45pm
- Location:
- Room No. 113, Department of Mathematics
- Description:
**Seminar on Optimal Transport**Tuesday, 8 August 2023, 03.45 pm

=========================

**Venue:**Room 113, Department of Mathematics**Host:**Harsha Hutridurga**Speaker:**Saumyajit Das**Affiliation:**IIT Bombay**Title:**Introduction to Optimal Transport

- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Algebraic Groups seminar Tuesday, 8 August 2023, 4 pm ====================== Venue: Ramanujan Hall Host: Shripad Garge Speaker: Chayan Karmakar Affiliation: IIT Bombay Title: Derivations and Tangent Spaces - I Abstract: We begin the study of derivations with the aim of introducing Lie algebras for algebraic groups.

- Time:
- 11:30am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Lecture series in algebraic geometry Introduction to Hodge Theory --------------------------------------------- Wednesday, 9 August, 11.30--1.00 Thursday, 10 August, 11.30-1.00 ---------------------------------------------- Venue: Ramanujan Hall Host: Sudarshan Gurjar Abstract: This is the first lecture of a semester course of lectures on Hodge Theory

- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Mathematics Colloquium Wednesday, 9 Aug. 2023, 4 pm ======================= Host: Sudarshan Gurjar Venue: Ramanujan Hall Speaker: Pallav Goyal Affiliation: University of Chicago Title: Almost commuting variety and quantum Hamiltonian reduction Abstract: I'll be talking about the notions of commuting varieties and almost commuting varieties of Lie algebras in Types A and C. Then I'll quantize these notions and discuss their applications to the representation theory of rational Cherednik algebras via Hamiltonian reduction.

- Time:
- 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
**CACAAG Seminar**Wednesday, 9 August, 5.30 pm

-----------------------------------

**Venue:**Ramanujan Hall**Host:**Madhusudan Manjunath**Speaker:**Madhusudan Manjunath, IIT Bombay**Title:**The g-Conjecture for Simplicial Polytopes**Abstract:**We will sketch a proof of this conjecture and discuss some possible topics for further study

- Time:
- 11:30am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Lecture series in algebraic geometry Introduction to Hodge Theory --------------------------------------------- Wednesday, 9 August, 11.30--1.00 Thursday, 10 August, 11.30-1.00 ---------------------------------------------- Venue: Ramanujan Hall Host: Sudarshan Gurjar Abstract: This is the first lecture of a semester course of lectures on Hodge Theory

- Time:
- 2:00pm-4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Lecture series in algebraic geometry Algebraic Stacks Thursday, 10 August, 2.30-4.00 pm --------------------------------------------- Venue : Ramanujan Hall Host: Sudarshan Gurjar Speaker: Nitin Nitsure, TIFR, Mumbai (retd) Abstract: I deliver a course of lectures on Algebraic Stacks .The tentative plan is to cover the first 100 pages or so of `Champs Algebriques' by Laumon and Moret-Bailly, which is the standard reference for the subject. Examples, definitions, and statements of results will be discussed in detail, and proofs of the main theorems will be sketched, focusing on the key ideas.

- Time:
- 2:30pm-3:45pm
- Location:
- Room No. 215, Department of Mathematics
- Description:
**Topology and Related Topics Seminar**Thursday, 10 August 2023, 2.30 -3:45 pm

==========================

**Venue:**Room 215**Host:**Rekha Santhanam**Speaker:**Sahin Mandal**Affiliation:**IIT Bombay**Title:**Vector Bundles and their Classification-1**Abstract:**In this talk, we define vector bundles and discuss some examples. We then talk about Stiefel and Grassmanian manifolds and explain how to construct new vector bundles from the old ones. Later we will talk about the classification of vector bundles in which will see how homotopy maps behave and construct the universal vector bundle.

- Time:
- 12:00pm-1:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
**Ph. D. Defence seminar**Friday, 11 Aug,12:00 PM - 01:00 PM

**------------------------------------------**Sudarshan Gurjar

Host:**Venue:**Ramanujan Hall**Speaker:**Poonam Pokale, IIT Bombay**Title:**Topology of surfaces and Classification of affine curves

- Time:
- 3:45pm
- Location:
- Room No. 113, Department of Mathematics
- Description:
**Seminar on Optimal Transport**Friday, 11 August 2023, 03.45 pm

=========================

**Venue:**Room 113, Department of Mathematics**Host:**Harsha Hutridurga**Speaker:**Saumyajit Das**Affiliation:**IIT Bombay**Title:**Introduction to Optimal Transport