- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Algebraic Groups Seminar

Friday, August 2, 2024, 4 pm

Venue: Ramanujan Hall

Host: Dipendra Prasad

Speaker: Saad.

Affiliation: IIT Bombay, Mumbai.

Title: Nilpotent Conjugacy Classes

Abstract: We continue the analysis of nilpotent conjugacy classes from the

book of Collingwood and McGovern.

- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Statistics seminar

Title : A selected summary of extreme value theory for discrete random

variables.Time, Day & Date: 4:00 pm on 5th August 2024

Venue: Ramanujan Hall

Host: Radhendushka Srivastava

Speaker: Prof. Saralees Nadarajah, The University of Mancheste

- Time:
- 12:30pm
- Location:
- Room 215, Mathematics Department
- Description:
Commutative Algebra Seminar

Time, Day and Date : 12:30 pm on Tuesday 6 August

Venue : Room 215

Speaker : Tony J. Puthenpurakal

Title : K-theoretic techniques in local algebra

Abstract : We discuss some K-theoretic techniques to prove Serre's

Vanishing conjecture and the total rank conjecture

- Time:
- 4:00pm
- Location:
- Room 215, Mathematics Department
- Description:
Algebraic Groups Seminar.

Time, Day & Date: 4.00 pm, Tuesday, August 6, 2024.

Venue: Room 215.

Host: Dipendra Prasad.

Speaker: Akash Yadav.

Title: Nilpotent conjugacy classes

Abstract: We continue the analysis of nilpotent conjugacy classes from the

book of Collingwood and McGovern.

- Time:
- 11:30am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Combinatorics Seminar

Date/Day: 7th August, Wednesday.

Venue/Time: Ramanujan Hall, 11:30 am

Speaker: Dhruv Mubayi, University of Illinois at Chicago

Title: New results on the Erdos Rogers function

Abstract: Given integers 1 < s < t, what is the maximum size of a K_s-free

subgraph that every n vertex K_t-free graph is guaranteed to contain? This

problem was posed by Hajnal, Erdos and Rogers in the 1960s as a way to

generalize classical graph Ramsey numbers (which corresponds to the case

s=2). We prove almost optimal results in the case t=s+1 using recent

constructions in Ramsey theory. We also consider the problem where we

replace K_s and K_t by arbitrary graphs H and G and discover several

interesting new phenomena. This is joint work with Jacques Verstraete.

- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Colloquium talk

Title : Billiards in Rational Prisms

Speaker : Jayadev Athreya, University of Washington

Time, Date and day : 7th August (Wed) at 4:00 pm

Venue : Ramanujan Hall

Host: Ravi Raghunathan

Abstract : This talk describes joint work-in-progress with Bedaride, Hooper,

and Hubert. Motivated by the study of billiards in polyhedra, we study

linear flows in a family of singular flat 3-manifolds which we call

translation prisms. Using ideas of Furstenberg and Veech, we connect

results about weak mixing properties of flows on translation surfaces to

ergodic properties of linear flows on translation prisms, and use this to

obtain several results about unique ergodicity of these prism flows.

Furthermore, we construct explicit eigenfunctions for translation flows in

psuedo-Anosov directions with Pisot expansion factors, and use this

construction to build explicit examples of non-ergodic prism flows, and

for

non-ergodic billiard flows in a right prism over a regular 7-gon.

- Time:
- 10:00am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Algebraic Groups Seminar.

Time, Day & Date: 10.00 am, Friday, August 9, 2024.

Venue: Ramanujan Hall.

Host: Shripad M. Garge.

Speaker: Dibyendu Biswas.

Title: Borel subgroups in reductive groups

Abstract: We continue studying Chapter 8 (Reductive Groups) of Springer's

book on Linear Algebraic Groups.

- Time:
- 11:30am - 12:00pm
- Location:
- Room 215, Mathematics Department
- Description:
1. Spectral Theory of Automorphic Forms on MONDAYS 11:30am -- 1:00pm

Date, Time, Venue: Every Monday starting 12th August,11:30am-1:00pm,Room 215Hosts : Keshav Aggarwal and Kummari Mallesham

Abstract : Attached.

https://www.math.iitb.ac.in/~seminar/nt/AnNT_seminar_2024_Fall_revised.pdf

- Time:
- 2:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Speaker: Ojas Sahasrabudhe (Department of Mathematics, IIT Bombay)

Date, Time, Venue : 2:30 p.m. on Monday, August 12, Ramanujan Hall

Title: Continued Fractions and Diophantine Approximations

- Time:
- 12:30pm
- Location:
- Room 215, Mathematics Department
- Description:
Commutative algebra seminar:

Time, Day, Date, Venue : 12:30 pm, Tuesday 13 August, Room 215

Speaker: Aryaman Maithani

Affiliation: University of Utah

Host. A. Hariharan

Title: Invariant Theory of Commutative Rings

Abstract: Abstract: Given a group G acting on a ring R, we consider R^G,

the subring of elements fixed by G. It's a natural question to ask what

"good" properties of R are inherited by R^G. Some of these questions were

considered by Hilbert and Noether, and were a motivation to study

noetherian rings. We will discuss some of these results.

This talk should be accessible to someone who's done a first course in

module theory

- Time:
- 2:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
3. Name of the Seminar: Analysis Seminar

Time, Day and Date: 2:30 p.m., Tuesday, 13 August 2024.

Venue: Ramanujan hall

Host: Anandavardhanan

Speaker: Debanjan Nandi

Affiliation: IISc Bangalore

Title: Martin boundaries of groups hyperbolic to nilpotent subgroups

Abstract: The Martin boundary of a simple random walk on a finitely

generated group hyperbolic relative to nilpotent subgroups is not known in

general. For any such group one can however construct a 'natural' class of

random walks whose Martin boundary (probability-theoretic object) is

homeomorphic to the Bowditch boundary of the group (geometric object), and

the existence of such random walks characterizes these groups among

relatively hyperbolic groups. This is the main result I will discuss.In the talk I plan to emphasize on giving an overview of this problem,

relations to more classical objects like the Brownian motion in manifolds

of negative curvature, and spend some time recalling the definitions of the

above class of groups, and the Martin boundary as a probabilistic and

potential-theoretic notion. I would also like to talk about further

questions that naturally arise, if time permits.

- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Time, Day & Date: 4 pm, Tuesday, August 13, 2024

Venue: Ramanujan Hall

Host: Shripad M. Garge

Speaker: Dibyendu Biswas.

Title: Borel subgroups in reductive groups - II

Abstract: We study the construction of Borel subgroups in reductive groups through the root groups corresponding to the simple roots corresponding to B.

- Time:
- 11:30am - 1:00pm
- Location:
- Room 215, Mathematics Department
- Description:
4. Representation theory of Automorphic forms- Part 1 (Tate's Thesis)

Date, Time, Venue: Wednesday 14th August, 11:30am - 1:00pm, Room 215

Abstract: Attached.

https://www.math.iitb.ac.in/~seminar/nt/AnNT_seminar_2024_Fall_revised.pdf

- Time:
- 3:30pm - 4:30pm
- Location:
- Room No 105, Department of Mathematics
- Description:

Annual Progress SeminarWednesday, 14 August 2024, 3:30-4:30pm

Venue: Room 105, Department of Mathematics

Host: Ananthnarayan H.

Speaker: Omkar Javadekar

Affiliation: IIT Bombay

Title: Linear quotients of connected ideals of graphs and some results

on purity of extremal rays of Betti cones.

- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Colloquium :

Date, Time, Venue : 14th August, 4:00 pm in Ramnujan Hall

Title: Subconvexity bound problem for L-functions

Abstract: Study of L-functions is one of the central themes of modern

number theory. The problem of bounding growth rate of L-functions is

classical and goes back to Weyl (1916), who proved the first non-trivial

result for the Riemann zeta function. This is known as the subconvexity

bound problem and has various applications, apart from being of

independent interest. We will talk about the history of the problem, give

some applications, and present some classical analytic tools like the

circle method used to study the problem.

- Time:
- 3:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Name of the Seminar: Pre-synopsis Seminar

Time, Day and Date: 3:30 p.m., Friday, 16 August 2024.

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

Venue: Ramanujan hall

Host: Anandavardhanan

Speaker: Saad Qadri

Affiliation: IIT Bombay

Title: Ext branching laws for the general linear groupAbstract: We study Ext branching laws for Arthur type representations of the p-adic general linear group. We give a precise condition predicting Ext non-vanishing in some cases.

- Time:
- 4:00pm
- Location:
- Room 215, Mathematics Department
- Description:
Time, Day & Date: 4 pm, Friday, August 16, 2024

Venue: Room 215

Host: Dipendra Prasad.

Speaker: Deep Makadiya

Title: Nilpotent conjugacy classes

Abstract: We continue the analysis of nilpotent conjugacy classes from the book of Collingwood and McGovern.