# Online Seminar of Assamese Mathematicians

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This seminar takes place usually on Fridays, at a suitable time and is meant for talks by young Assamese mathematicians (PhD Students, Postdocs, and young faculty members). By Assamese, we mean anyone residing/working in Assam now or residing/working in Assam in the past. If you wish to attend or give a talk in the seminar please email me ([email protected]) or Parama Dutta ([email protected]).

Check the FAQs.

All the talks will be over Zoom and the meeting details will be emailed to the registered participants.

## Next Talk

$\mu$-Statistically Convergent Multiple Sequences in Probabilistic Normed Spaces

Rupam Haloi (Sipajhar College, Assam)

04 December 2020 (8 pm IST)

Abstract: By a multiple sequence, we mean a sequence of $k$-tuple, of elements of a set $X$. A multiple sequence is a mapping from $\mathbb{N}^k$ into the set $X$, where $\mathbb{N}^k$ is the $k$-th power of the set of natural number $\mathbb{N}$. A term of a multiple sequence $f:\mathbb{N}^k\rightarrow X$ is an ordered set of $k+1$ elements $(n_1,n_2,\dots,n_k,x)$, where $x=f(n_1,n_2,\dots,n_k)\in X$ and $(n_1,n_2,\dots,n_k)\in\mathbb{N}^k,~n_i\in\mathbb{N}$, for $i=1,2,\dots,k$. The term is also denoted by $x_{n_1n_2\dots n_k}.$ In this talk, we will discuss about the concepts of $\mu$-statistically convergent and $\mu$-statistically Cauchy multiple sequences in the theory of probabilistic normed spaces (in short PN-spaces). We will also discuss about some useful characterizations on these introduced notions. Moreover, we will discuss about $\mu$-statistical limit points and its relation with limit points of multiple sequences in the settings of PN-spaces.

## Upcoming Talks

Please click on the title to see the abstract.

11 December, 2020: On the parity of Andrews' Singular overpartition function (Ajit Singh, Indian Institute of Technology Guwahati) A partition of a positive integer $n$ is any nonincreasing sequence of positive integers whose sum is $n$. The number of partitions of $n$ is denoted by $p(n)$. The partition function $p(n)$ satisfies many interesting arithmetic properties. For example, the number of partitions of $n$ into odd parts is equal to the number of partitions $n$ into distinct parts. In this talk we discuss some parity results of a special type of partition function, namely Andrews' singular overpartition. We also discuss some special spaces of Modular forms and their applications in Partition theory.
18 December, 2020: tba (Souvik Parial, Indian Institute of Technology Guwahati) tba

## Past Talks

What is the Probability that an automorphism fixes a group element? (Parama Dutta: 26 June 2020)
Hypergeometric Series over Finite Fields (Arjun Singh Chetry: 10 July 2020)
Families of Congruences for Fractional Partition Functions Modulo Powers of Primes (Hirakjyoti Das: 17 July 2020)
Combinatorics of Stammering Tableaux (Bishal Deb: 31 July 2020)
An approach to construct Mathematical model through system of ordinary differential equation (Munmi Saikia: 07 August 2020)
Some aspects of $\Gamma_2$ graph over some of the finite commutative rings (Anurag Baruah: 14 August 2020)
Application of the Rogers-Ramanujan continued fraction to partition functions (Nilufar Mana Begum: 21 August 2020)
Certain types of primitive and normal elements over finite fields (Himangshu Hazarika: 28 August 2020)
Hard and Easy Instances of L-Tromino Tilings (Manjil Saikia: 04 September 2020)
Extremal inverse eigenvalue problems for matrices with a prescribed graph (Debashish Sharma: 18 September 2020)
Solution Concepts in Transferable Utility Games (Parishmita Baruah: 02 October 2020)
Distance Pareto eigenvalue of a graph (Deepak Sarma: 09 October 2020)
Congruences for $\ell$-Regular OverPartition for $\ell\in {5, 6, 8}$ (Chayanika Boruah: 16 October 2020)
Primes with restricted digits in arithmetic progressions (Kunjakanan Nath: 30 October 2020)
On Congruent Numbers and Their Generalizations over Number Fields (Shamik Das: 06 November 2020)
Introduction to the mapping class groups (Soumya Dey: 20 November 2020)
An introduction to combinatorial representation theory (Manjil Saikia: 27 November 2020)

## FAQs

When does the seminar take place?

Usually on Fridays, the times change depending on the availability of the speaker.

Who can attend?

Everyone is welcome to attend, but you have to register to get the links to attend the seminars. You can register by sending an email to [email protected], mentioning your name and affiliation (if any).

Who can give a talk?

At the moment we are encouraging only PhD students, postdocs and young faculty members either from Assam or living in Assam to give talks. If you are interested in giving a talk, please send an email to [email protected] or [email protected]

Will there be any certificate for attending?

No.