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.

**$\mu$-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.

*Please click on the title to see the abstract.*

**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)

**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.