The Department of Mathematics at SRM University-AP is conducting a departmental seminar on November 24, 2021, at 3:00 pm. Prof Sundar Sobers from The Institute of Mathematical Sciences, Chennai, India will engage the participants on the topic “Multiparameter E_0-semigroups”.
Abstract of the lecture:
In the late eighties, Powers initiated the study of the 1-parameter semigroup of endomorphisms on B(H). This was further studied intensively by many others during the last three decades led by William Arveson. Although from the physics point of view, the 1-parameter theory is the most important one, from the mathematical perspective, it is not necessary to restrict oneself to 1-parameter, i.e. the half-line [0,\infty) and we could replace the half-line with any reasonable semigroup’ like convex cones in higher-dimensional Euclidean space. One of the nice features is that the basic theory stays intact while there are significant differences between the 1-parameter theory and the n-parameter theory. I will explain one such phenomenon.
In particular, Prof Sundar Sobers will define the basic examples of E_0-semigroups, i.e. the CCR and CAR flow associated with isometric representations of the semigroup P. In the multiparameter world, CCR flows need not be isomorphic to its opposite, a sharp contrast to the one-parameter situation.
Don’t forget to join this lecture on November 24, 2021, at 3:00 pm which will be helpful to participants who are doing or planning to start a career in the multiparameter E_0-semigroups domain.Continue reading →
The second lecture in the Distinguished Lecture Series organised by the Department of Mathematics at SRM University-AP will be held on November 10, 2021, at 4.30 pm. Prof Amiya Kumar Pani from the Department of Mathematics, IIT Bombay, will elucidate the lecture on the topic “Navier Stokes Equations: A Million Dollar Open Problem”.
On August 8, 1900, David Hilbert delivered his famous lecture about 23 open mathematical problems at the second International Congress of Mathematicians in Paris. This influenced the decision of a recently formed Clay Mathematical Institute (CMI) to announce the seven Millennium Prize Problems in the CMI Millennium Meeting held on May 24, 2000. One such problem is the theme of the present talk. Now it is widely accepted that the motion of an incompressible viscous fluid with moderate velocity is described by the Navier-Stokes Equations. Although these equations were written down in the 19th century, the existing mathematical results are not adequate to unfold the secrets hidden in the Navier-Stokes equations.
In this talk, Prof Amiya shall concentrate on a brief description of this problem, mathematical model, a quick look at history, what is known at this point, some important approaches and what is possibly needed. Finally, he will conclude the talk with a note on the present state of Indian applied mathematics and whether we are ready to contribute towards this millennium problem.
About the Speaker:
Prof Amiya K Pani is Professor at IIT, Bombay. He is well known for his research work in the area of numerical approximations of partial differential equations. His expertise includes construction, stability, and convergence analysis of finite element methods, finite difference schemes, orthogonal spline collocation methods for free boundary problems, partial integrodifferential equations, coupled equations in Oil Reservoir Studies, evolutionary variational inequalities, and scientific computations for industrial applications. Professor Pani is a fellow of the Indian Academy of Sciences and National Academy of Sciences, India. He was awarded the Best Young Mathematician for his outstanding contributions to Numerical Analysis, Partial Differential Equations, and Industrial Mathematics by the Indian Society for Industrial and Applied Mathematics (ISIAM).
Tune in to this intriguing lecture on Navier stokes equations on November 10, 2021, at 4.30 pm.Continue reading →
Department of Mathematics is organising the 17th Departmental Weekly Seminar on October 13, 2021, at 3 pm. Prof Indranath Sengupta from IIT Gandhinagar will be addressing the students on “Unboundedness of Betti numbers of some families of curves in affine and projective spaces”. Prof Indranath Sengupta will discuss some problems related to the unboundedness of Betti numbers of families of affine curves defined by Numerical semigroups. He will also indicate possible connections, with the help of examples, between the unboundedness of the last Betti number and the Cohen-Macaulayness of the projective closure of these affine curves. This work has been carried out in collaboration with Ranjana Mehta, Joydip Saha & Pranjal Srivastav.
Mathematics Departmental Seminar is widely popular among students and Mathematics enthusiasts. This seminar provides a homey environment where students can interact with renowned mathematicians. Eminent mathematicians and scholars have visited SRM University-AP and enjoyed conversations with students. Everyone is encouraged to take part in the exciting journey through the realms of Mathematics with Prof Indranath Sengupta on October 13, 2021, at 3 pm.Continue reading →
Department of Mathematics is organising the 16th edition of the “Departmental Weekly Seminar Series” on October 06, 2021, at 3 pm with Dr Tathagata Sengupta as the Chief Guest. Dr Tathagata Sengupta is from Homi Bhabha Centre for Science Education, Tata Institute of Fundamental Research and he is going to speak on ‘Debt, Mathematics and Education’.
The talk is based on the ongoing work of Dr Sengupta, where he and his collaborators deal with the sociological, emotional and intellectual impacts of mechanical reproduction of formal knowledge systems – such as those based on mathematical models – in the service of economies of endless repetition and mass reproduction. Symbols and formalisms can carry over across different paradigms of human existence, across both time and space, without the underlying meanings and subtleties necessarily being carried along. Such nominalisation of meanings only gets exacerbated under systems of massive mechanical reproduction. Mathematical models particularly are not just mere vehicles of computation but play a paradigmatic role in the very realisation of today’s political economy – being endlessly used to reproduce social relations that suit the interests of power and capital.
Specifically, Dr Sengupta and his team analyse a particular, basic microfinance model that aims to mathematise and thus aid in the management of micro-lending businesses. They describe how such a model not only tries to construct particular social realities and certain kinds of financial ‘common sense’ as such but also how pre-existing normative common sense is likewise codified into the model itself. They argue how such mathematical models have no independent truth value outside of specific historic processes, contexts and paradigms of public common sense – hoping that this allows us to fundamentally shift the culture of mathematical modelling in a way that respects such subtleties of human knowledge in their extremely rich, dynamic, plural, communistic wisdom and creativity.
Dr Sengupta’s main attempt is to push the discussion not only out of the binaries of ‘good/bad models’ but also beyond rule-based rationalist imaginations of ethics into the mundane and emotional – and yet creative, subtle and even magical – daily existence of ordinary people. Existence is marked by social relations of radical inequalities and radical unities. In particular, this also opens up possible directions to pursue intellectually and in practice, when it comes to the question of education.
Mathematics enthusiasts can avail this opportunity to listen to the captivating talk of Dr Tathagata Sengupta on October 06, 2021 at 3 pm.Continue reading →
The Department of Mathematics at SRM University-AP organises the first episode of the Distinguished Lecture Series on September 29, 2021, at 3:30 pm. Prof Vikraman Balaji, renowned Mathematician from Chennai Mathematical Institute, Chennai, India will deliver a lecture on the topic “The Narasimhan-Seshadri theorem and some of its ramifications”
Abstract of the talk:
The Narasimhan-Seshadri theorem is one of the spectacular theorems from India in the past 50 years or so. The theorem is more than a deep result but is in a way philosophy or correspondences and symmetries. The theorem has had an impact on several aspects of mathematics. The theorem has also led to developments along lines that are similar but by themselves are also deep and central. Since the talk is for a general audience, I plan to give an overview of the theorem, a few of its big impacts in topology and geometry and a few of its ramifications in terms of generalizations.
About the Speaker:
Prof Vikraman Balaji is a renowned Indian Mathematician and currently a professor at the Chennai Mathematical Institute, India. He completed his doctorate in mathematics under the supervision of Prof C S Seshadri. His primary research area is algebraic geometry. He has made outstanding contributions to moduli problems over algebraic varieties. In particular, his work on ‘compactification of moduli of principal G-bundles over algebraic surfaces and his joint work with C.S Seshadri on ‘Parahoric torsors’ are very significant among his many other notable works. In 2006, he received the prestigious Shanti Swarup Bhatnagar Award in Mathematical Sciences and was awarded the J.C Bose fellowship in 2009. He was elected Fellow of the Indian Academy Of Sciences in 2007 and Fellow of the Indian National Science Academy (INSA) in 2015. He is presently an elected member of the National Academy Of Sciences, India (NASI).
Join this lecture on September 29, 2021, at 3.30 pm to understand the Narasimhan-Seshadri theorem and its impact on Mathematics.Continue reading →