Wed, September 25, 2024
Public Access


Category:
Category: All

25
September 2024
Mon Tue Wed Thu Fri Sat Sun
            1
2 3 4 5 6 7 8
9 10 11 12 13 14 15
16 17 18 19 20 21 22
23 24 25 26 27 28 29
30            
8:00am  
9:00am  
10:00am  
11:00am [11:30am] Aditi Savalia, IIT Bombay
Description:

4. Number Theory Seminar

Day, Date and Time :  Wednesday, 25th September at 11:30 am

Venue: Room 215

Speaker: Aditi Savalia

Title: Spectral theory of automorphic forms

Abstract : We'll discuss Sections 2.2 and 2.3 of Iwaniec's Topics in
Classical Automorphic Forms.
 


[11:30am] Surajit Pal, IIT Bombay
Description:

APS Seminar

Date and Time: 11:30 AM - 12:30 PM on 25th September, Wednesday

Venue: Ramanujan Hall

Speaker: Surajit Pal

Title: Unique Continuation Principle and its applications

Abstract: This seminar explores the relationship between Hatus Lemma and
unique continuation principle, highlighting how UCP can be used to prove
the conditions for stabilizability in the Hautus Lemma. The Hautus Lemma
provides necessary and sufficient conditions for the stabilizability of
linear systems. The unique continuation which states that any solution  of
an elliptic equation that vanishes in a small ball must be
identically zero.

Then we will try to give the argument how we can get unique continuation
principle for elliptic equation with constant, real-analytic coefficient
and later we will prove the unique continuation for little bit general
set-up using Carleman inequality.


[11:30am] Unnati Nigam, IIT Bombay
Description:

Speaker: Unnati Nigam

Day, Date and Time: Wednesday, 25th September, 11.30 am 
Online mode: join at https://meet.google.com/viw-jwsy-zdr

Title: Modelling of quasi-periodic data 

Abstract:  Quasi (pseudo/approximate) periodic signals often occur in natural settings, particularly when a periodic signal is recorded with noise. In this seminar, we will present a new dynamical equation system to construct a family of Quasi-Periodic Gaussian Processes (QPGP). We will describe a computationally inexpensive algorithm for the maximum likelihood estimation of parameters based on dynamic equations. This approach also simplifies the signal forecasting. We will illustrate via a simulation study that the proposed QPGP estimation strategy is faster as well and more accurate than existing constructions. Unlike these existing models, the proposed approach extends to multiple families of kernels, which we illustrate by modeling sunspot data, carbon dioxide emissions data and ECG data with both periodic Mat\'ern and MacKay's covariance kernel. This shows the exclusive advantage of the new QPGP family proposed in this work.


12:00pm
1:00pm  
2:00pm [2:00pm] Debapriya Ojha, IIT Bombay
Description:

Debapriya Ojha will give her 2nd APS as follows.

25 September, 2-3 pm, Ramanujan Hall

Title: Hilbert's 17th Problem

Abstract: We will see the general concept of orderings of arbitrary
fields. We then establish relations between sums of squares in a field
and orderings of the same field. Next, we try to enlarge an ordered
field by extending the order to the new elements. Finally, we will
discuss Hilbert's 17th problem about the representation of forms by sums
of squares and its solution by Emil Artin . As an application of this
theorem we get the "sign change criterion".

Google Meet joining info

Video call link: https://meet.google.com/tgz-psxc-riq


3:00pm  
4:00pm  
5:00pm  
6:00pm