Topology and Related Topics Seminar
Tuesday, 8 August 2023, 2.30 -3:45 pm
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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
Commutative Algebra Seminar
Tuesday, August 8, 2023, 3:30 pm
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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.
Seminar on Optimal Transport
Tuesday, 8 August 2023, 03.45 pm
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Venue: Room 113, Department of Mathematics
Host: Harsha Hutridurga
Speaker: Saumyajit Das
Affiliation: IIT Bombay
Title: Introduction to Optimal Transport
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.
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
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.
CACAAG Seminar
Wednesday, 9 August, 5.30 pm
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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
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
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.
Topology and Related Topics Seminar
Thursday, 10 August 2023, 2.30 -3:45 pm
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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.
Ph. D. Defence seminar
Friday, 11 Aug,12:00 PM - 01:00 PM
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Host: Sudarshan Gurjar
Venue: Ramanujan Hall
Speaker: Poonam Pokale, IIT Bombay
Title: Topology of surfaces and Classification of affine curves
Seminar on Optimal Transport
Friday, 11 August 2023, 03.45 pm
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Venue: Room 113, Department of Mathematics
Host: Harsha Hutridurga
Speaker: Saumyajit Das
Affiliation: IIT Bombay
Title: Introduction to Optimal Transport