August 27, 2018 - August 31, 2018
Public Access Category: All |
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
|
- Time:
- 3:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Lie theory seminar
Speaker: Ravi Raghunathan
Title: The Peter-Weyl Theorem
Time: 3:30 p.m., Monday, August 27, 2018
Venue:
Abstract; I will prove the Peter-Weyl theorem for compact topological
groups. This talk will be independent of the talks given earlier in the
seminar. In particular, no Lie theory is necessary (and nor will it be
assumed).
- Time:
- 3:30pm-5:00pm
- Location:
- Room No.215 Department of Mathemaics
- Description:
- Commutative algebra seminars
Monday, 27 August 2018
Room 215, 3.30-5.00
Speaker: Sudeshna Roy
Title: Equations of multi-Rees algebras
Abstract: We shall present a recent result of Davi Cox, K.-N. Lin and G.
Sosa
which explores the defining equations of multi-Rees algebras of monomial
ideals
in a polynomial ring over a field.
- Time:
- 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- CACAAG seminar
Speaker: Madhusudan Manjunath
Time & Date: 5pm Tuesday.
Venue: Ramanujan Hall
Title: Triangulations of Root Polytopes.
Abstract: We will discuss recent work on triangulations of the root
polytope associated to a subgraph of the complete bipartite graph.
- Time:
- 2:00pm-3:30pm
- Location:
- Room No.215, Department of Mathematics
- Description:
- Thursday, 30 August 2018
Room 215, 2.00-3.30
Speaker: Kriti Goel
Title: Mixed multiplicities of ideals
Abstract: The concept of Hilbert-Samuel polynomial for an m-primary ideal
was extended for two m-primary ideals by P. B. Bhattacharya. In other
words, the function l(R/I^rJ^s) is given by a polynomial for r, s large.
The coefficients appearing in the highest total degree terms in the
polynomial are called the mixed multiplicities. These were investigated by
B. Teissier (and J. J. Risler) in his Cargese paper.
In a series of two talks, we will look at some properties of mixed
multiplicities, using superficial elements. These talks aim to cover the
preliminaries required for reading the paper 'A generalization of an
inequality of Lech relating multiplicity and colength' by C. Huneke, I.
Smirnov and J. Validashti.
- Time:
- 3:00pm-4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Speaker: Dr. Iker Perez, Assistant Professor in Statistics at the
University of Nottingham, UK
Date: 30th Aug 2018
Time 3-4 pm
Venue: Ramanujan Hall
Title: Approximate Uncertainty Quantification with Jump Processes
Abstract:
This talk will discuss foundational statistical challenges and
probabilistic considerations associated with families of stochastic jump
models, which often find applications in domains such as genetics,
epidemiology, mathematical biology or operations research. I will review
Markov jump processes, and by means of common accessible examples, discuss
the strong impediments posed by real-world application scenarios to inverse
uncertainty quantification tasks.
Next, I will discuss current statistical advances linked to structured jump
systems along with relevant literature. Through a model exemplar borrowed
from queueing theory, I will finally present an approximate and scalable
variational Bayesian framework, suitable for uncertainty quantification
tasks with a large class of structured processes. The talk will further
include examples with applications of the methods introduced.
- Time:
- 4:00pm
- Location:
- Room No. 215, Department of Mathematics
- Description:
- Reebhu Bhattacharya will be speaking in the Geometry and Topology Seminar in 215 at 4:00 PM on 31st August 2018.
Title: Jones Isomorphism Theorem
Abstract: We will continue our discussion of Hochschild homology from the last talk, defining it for dga's and proceeding to calculate the Hochschild homology of $k[X]/X^2$, the cohomology ring of the sphere. Then we will outline a proof of Jones Isomorphism Theorem using simplicial sets and hence obtain the homology of the loop space of spheres.