Invited Talks
Invited Talks
Invited Talks are organised by MTTS Alumni. Tentatively, there will be a total of 14 Invited Talks scheduled throughout the year.
Tentatively, there will be 4 Invited Talks scheduled for the months of January, March, July and December with one talk taking place in each of these months. These will be organised by MTTS Alumni.
Tentatively, there will be 3 Invited Talks scheduled for the months of February, April, September and December with one talk taking place in each of these months. These will be organised by PTMT Alumni.
As part of Curry Leaf Days in October-November, there are plans to organize 5 Invited Talks. These will be organised by MTTS Alumni.
As part of Curry Leaf Days in October-November, there are plans to organize 2 Invited Talks. These will be organised by PTMT Alumni.
TBA: To Be Announced
TBU: To Be Updated
Talks in 2023
Talk 25: Darboux Functions: Uday Shankar Chakraborty
Talk 24: Best Proximity Points and Proximal Normal Structure: Dr Sankara Raju
Speaker: Dr Sankara Raju
Title: Best Proximity Points and Proximal Normal Structure.
Abstract: After discussing a short review in fixed, we introverted best proximity points. We also discuss the notion of proximal normal structure.
Talk 23: Expander Graphs and Groups : Dr. Prahlad Vaidyanathan
Speaker: Dr. Prahlad Vaidyanathan
Title: Expander Graphs and Groups
Abstract: An expander family of graphs is a mathematical way to encode the idea of a "good" network. We will explain what "good" could mean in this context, and use this to define an expander family. We will then describe a construction of such families using group theory.
Talk 22: The space around knots: Dr. Shane D'Mello
Speaker: Dr. Shane D'Mello
Title: The space around knots
Abstract: We will discuss properties of the complement of a knot, especially the fundamental group of the knot complement.
Talk 21: A study of Cayley graphs of finite fields: Dr. Neha Prabhu
Speaker: Dr. Neha Prabhu
Title: A study of Cayley graphs of finite fields Abstract: Number theory meets graph theory in the following setting. If we construct a certain Cayley graph of a finite field, the eigenvalues of the associated adjacency matrix happen to be interesting number-theoretic objects called Kloosterman sums. Further, understanding graph properties like connectivity and girth lead to interesting problems. In this talk we review relevant definitions, motivate the problem, and get a glimpse of results obtained.
Speaker:- Prof. Sudesh K. Khanduja ( IISER MOHALI )
Title: Fascination of Prime Numbers
Abstract: Beginning with the notion of prime numbers, we shall give an introduction to some aspects of elementary Number Theory. We will highlight the contribution of some of the pioneers of this subject from Pierre de Fermat to Fields Medalist (2022) James Maynard. A few award winning open problems on computing will also be stated.
Target Audience: Anyone who has completed high school with basic understandings in mathematics
Organizing Members:- Manmohan Sahu, Soumya Dey
Co-organisers:- Prapti Tala, Josh Henriques
<--- Date, Time --->
28th September 2023, 05:00 PM (IST)
Speaker:- Dr. Nikita Agarwal, Associate Professor, IISER Bhopal
Title: Introduction to the Dynamical Systems
Abstract:- The theory of dynamical systems refers to the study of long-term behavior of systems which evolve with time. It originated from the works of Henri Poincare on celestial mechanics, in the late 19th century. The theory has applications to diverse areas including physics, biology, engineering, and economics. In these two talks, we will introduce some basic concepts in dynamical systems and discuss some research directions which overlap several areas of mathematics.
A few references:
1. Introduction to Dynamical Systems, M. Brin and G. Stuck, Cambridge University Press
2. Differential Equations and Dynamical Systems, L. Perko, Springer
3. Elements of Dynamical Systems: Texts and Readings in Mathematics, Vol. 79. Anima Nagar, Riddhi Shah and Shrihari Sridharan (eds). Hindustan Book Agency, New Delhi, 2020
Organizing Members:- Soumya Dey, Jyoti
Co-organisers:- Sayantani Ghosh, Harinder Singh
<--- Date, Time --->
Talk 1 on July 29 (Saturday) 4:00 - 5:30 PM
Talk 2 on July 30 (Sunday) 4:00 - 5:30 PM.
Talks in 2022
Speaker:- Dr Diganta Borah, Associate Professor, Mathematics, Indian Institute of Science Education and Research (IISER) Pune
Abstract:-In this series of lectures, we will develop the Perron's method for the solution of the Dirichlet problem and present a proof of the Riemann mapping theorem based on this problem.
Prerequisite: A first course in complex analysis
Organizing Members:- Tamoghna Kar, Priya Kaveri, Dr Soumya Dey
<---Date, Time and Session Chairs--->
Talk 1: September 03, 2022 (Saturday) at 3:00 PM
Talk 2: September 04, 2022 (Sunday) at 3:00 PM
Talk 3: September 10, 2022 (Saturday) at 3:00 PM
Talk 4: September 11, 2022 (Sunday) at 3:00 PM
Study Materials
Speaker:- Prof. Amber Habib, SNU
Abstract:- Undergraduate courses on group theory tend to base their examples mainly on permutations and modular arithmetic (For obvious reasons: this makes it easier to have a self-contained course). On the other hand, much of the importance of group theory in other parts of mathematics or even physics, is due to groups whose elements are linear transformations. In this introduction, we shall see how these `Linear Groups' feature an interplay of algebra, linear algebra, geometry and metric spaces, and also provide the motivating examples for the more general topic of Lie groups.
Organizing Members:- Priya Kaveri, Jaskaran Singh, Jyoti.
<---Date, Time and Session Chairs--->
Day 1 : 9th April,2022 6:00 PM (IST)
Session Chair: Prof A Satyanarayana Reddy
Day 2 : 10th April,2022 6:00 PM (IST)
Session Chair: Prof Pradip Kumar
Talk 13: Unraveling knots - four perspectives : Abhijit Champanerkar
Speaker:- Prof. Abhijit Champanerkar, Professor of Mathematics, College of Staten Island and The Graduate Center, The City University of New York.
Abstract:- A knot is an embedding of the circle in the 3-space and is usually represented by a knot diagram. Knots appear in the artwork and symbolism of many cultures. Mathematical study of knots began around the late 18th century by Vandermonde and mid 19th century by Gauss. Motivated by physics, the celebrated Scottish physicist Peter Tait created the first knot tables. Knot theory has come a long way from its interesting origins. In this series of two talks we will present four major perspectives on knots - diagrammatic, topological, geometric and quantum. We will study how these idea play out in knot theory, see interesting theorems, and explore interactions of different fields in the context of knots. We will see generalizations of classical knot theory, recent developments and also visit some open problems in knot theory.
Organizing Members:- Soumya Dey, Tamoghna Kar, Chaitanya Sheth.
Date and Time:- Saturday Feb 19 and Sunday Feb 20 at 06:00 PM IST (7:30 am EST).
Talks in 2020-2021
Talk 12: An introduction to knot theory : Tejas Kalelkar
Date: 2nd November 2021
Speaker : Dr. Tejas Kalelkar (Associate Professor, Mathematics Department, Indian Institute of Science Education and Research, Pune)
Abstract:- The theory of knots is an important area of topology. Some of the tools that are used to study knots can be understood by high-school students while others require deep mathematics. In this talk, we will introduce knot theory and of some of its basic invariants. There are no pre-requisites for this talk and it should be accessible to everyone.
Organizing Members:- Chaitanya & Anwesha
Talk 11: Artificial intelligence applications to election forecast : D. Narayana
Date: 2nd November 2021
Speaker : Dr. D. Narayana (Professor, Professor, Artificial Intelligence and Machine Learning, Great Learning)
Organizing Members:- Amritha & Sayantani
Talk 10: Reconstructing Random Geometric Graphs : Varsha Dani
Date: 1st November 2021
Speaker : Dr. Varsha Dani (University of New Mexico, Department of Computer Science )
Abstract:- A unit-disk graph is obtained by taking a finite collection of points in the plane as vertex set, and putting an edge between any two vertices whose Euclidean distance is at most one. The reconstruction problem for such a graph asks, given the adjacency matrix of the graph as input, to approximately recover the coordinates of each vertex, up to symmetries. How accurately can this be done? I will present some recent progress on this problem under the additional assumption that the collection of points is chosen at random, and highlight some of the many open problems remaining in this area.
Organizing Members:- Anwesha & Sayantani
Talk 9: Multiplicative linear maps : Sukumar Daniel
Date: 1st November 2021
Speaker : Dr. Tanusree Khandai (Assistant Professor, Mathematical Science, IISER Mohali)
Abstract:- On vector spaces, we define linear maps. On rings, we define multiplicative (your guess is right!) maps. To define multiplicative linear maps we need both these structures. They are broadly called algebra. To discuss the continuity of these maps we need topology/metric/norm. Are you able to observe the set of Real and complex numbers have all the required structures? Since we are familiar with linear maps, we can ask “among the linear maps which are multiplicative?”.
Organizing Members:- Chaitanya & Anwesha
Talk 8: Mathematical Aspects of coding theory : Mrinmoy Datta
Date : 1st November 2021
Speaker : Dr. Mrinmoy Datta (Assistant Professor, IIT Hyderabad)
Abstract:- In this talk, we will introduce the basic aspects of linear error-correcting codes and their parameters. We will see how the study of error-correcting codes gives rise to problems in mathematics that are fundamental. Time permitting, we shall mention a couple of open problems.
Organizing Members:- Amritha & Chaitanya
Date and Time : CLD 2021
Talk 7: An Introduction to Representation of Finite Groups : Tanusree Khandai
Date: 24th October 2021, 4:00 PM IST
Speaker : Dr. Tanusree Khandai (Assistant Professor, Mathematical Science, IISER Mohali)
Abstract:-
Organizing Members:- Priya Kaveri, Elan R S
Date and Time:- Saturday Feb 19 and Sunday Feb 20 at 06:00 PM IST (7:30 am EST).
Talk 6: A Few Elegant Proofs Of The Infinitude Of Primes : BIBEKANANDA MAJI
Date: 24th October 2021, 4:00 PM IST
Speaker: DR. BIBEKANANDA MAJI (Assistant Professor, Department of Mathematics, IIT INDORE)
Abstract:- Updating soon.
Organizing Members:- TBU.
Talk 5: Metaraga System: Geometry and Music : Purnaprajna P. Bangere
Date: April 17, 2021
Speaker: Dr. Purnaprajna P. Bangere (University of Kansas)
Abstract:- Updating soon.
Organizing Members:- TBU.
Talk 4: Monsky's Theorem : Shameek Paul
Dates: March 29, 2021 - April 05, 2021 (Holi Special)
Speaker: Dr. Shameek Paul (RKMVERI, Belur Math)
Abstract:- TBU
Organizing Members:- Tamoghna Kar, Arnab Kundu, Manmohan Sahu.
Talk 3: Rising Sun Lemma and Introduction to Plane Geometry : Mandar Khasnis & Vikram Aithal
Dates: January 30, 2021 and January 31, 2021
Speaker: Mr. Mandar Khasnis (Smt C.H.M. college, Ulhasnagar) & Dr. Vikram Aithal (Visiting Professor, ICT Mumbai)
The lecture slides for the talk 'Rising Sun Lemma' can be found here.
The lecture slides for the talk 'Introduction to Plane Geometry' can be found here.
Abstract:- Updating soon.
Organizing Members:- Priyanka Aroda, Jyoti, Sangeeta Pakhade, Liya Eldose.
Talk 2: Constructibility : An Old Enigma : Parthasarathi Mukhopadhyay
Dates: December 31, 2020 and January 01, 2021
Speaker: Dr. Parthasarathi Mukhopadhyay (RKM Residential College, Narendrapur)
Abstract:- TBA
Organizing Members:- Tamoghna Kar, Manmohan Sahu.
Hosts:- TBU.
Talk 1: Pigeonhole Principle and Its Applications : A. Satyanarayana Reddy
Speaker:- Dr. A. Satyanarayana Reddy
Associate Professor
Department of Mathematics
School of Natural Sciences (SNS), Shiv Nadar University.
Abstract:- The pigeonhole principle asserts that there is no injective mapping from k pigeons to n pigeonholes as long as k>n. It is a simple but a powerful idea which expresses one of the most basic primitives in mathematics and is the most extensively studied combinatorial principle.we will be discussing many real life applications as well as mathematical ones.
Organizing Members:- TBU.