The Geometric Bridge : From Theory of Special Relativity to Theory of Quantum Spins {Part I}

Area: Relativity

Discipline: Theoretical Physics

Speaker: Aniribit Mukherjee , Chennai Mathematical Institute

Date: Tuesday, September 10

Time: 6:15 P.M.

Venue: Seminar Hall

Duration: 60 - 75 mins

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Prerequisites: Some ideas ( not necessarily very precise ) of Special Relativity , Quantum Theory and Connectivity might be helpful.

Abstract: The title of the talk is perhaps far more ambitious than what I would be able to cover in this series of seminars. But I hope to build up enough of the required theories in Physics and Mathematics to get close to the crux of the field.
This is a topic which I have been exploring for quite sometime and I am yet to see the end of the road and I hope to share with the audience some of the beautiful aspects of Physics and Mathematics that I stumbled upon during this journey.
The interplay of geometry in General Relativity is almost a folklore but with Quantum Theory in view we need to take a modern look at the geometric notions in Special Relativity too , which I feel are conceptually tougher than the ones in General Relativity.
I shall initially develop a somewhat more mathematically sophisticated formulation of Special Theory of Relativity { I plan to show 2 different variants , the later being a little more difficult (atleast I think so ) }and of some aspects of Quantum Theory and then do a basic topological analysis of the Poincare Group.
During the seminar I plan to give a few questions for the audience to think about ,for which I have been unable to work out proofs or answers.Thus I expect the Student-Talks to become more interactive.
If time permits then I shall initiate a short discussion of various other mathematical structures that shall be needed in the sequels of this talk {if conducted }.
Depending on the response of the audience I hope to develop this topic over a series of seminars and hence many topics of the initial seminars MIGHT be discussed with NO motivations from Physics and the physical reasons might be left for the sequels.

Status: Done