May 2017
Public Access Category: All
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11:30am» Professor Samir Karaa- Time:
- 11:30am
- Location:
- Ramanujan Hall
- Description:
- Speaker: Professor Samir Karaa
Department of Mathematics and Statistics,
Sultan Qaboos University, Muscat, Oman.
Title: Finite volume element method for subdiffusion problems
Abstract: http://www.math.iitb.ac.in/~seminar/pde/samir-karaa-04-may-17.pdf
- Time:
- 3:30pm - 4:30pm
- Location:
- Room 113
- Description:
- Title: Estimates of Mumford forms
Abstract: Mumford forms are sections of a certain line bundle defined over the moduli space of smooth algebraic curves of genus g>0. In this talk we discuss the relationship of Mumford forms with a certain Bosonic measure coming from String theory, and their estimates.
- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall
- Description:
- Speaker: Dr. Avijit Pal, Department of Mathematics and Statistics, IISER Kolkata
Title: Contractivity and complete contractivity for the finite dimensional Banach Spaces
http://www.math.iitb.ac.in/~seminar/colloquium/colloq-11-may-17.pdf
- Time:
- 4:00pm
- Location:
- Ramanujan Hall
- Description:
- Title: The Alexander phenomenon
Abstract: A famous result of H. Alexander asserts that any proper
holomorphic self-map of the unit (Euclidean) ball in higher dimensions is
an automorphism. Alexander's result has been extended to various classes
of domains including strictly pseudoconvex domains (by Pinchuk) and weakly
pseudoconvex domains with real-analytic boundary (by Bedford and Bell).
It is conjectured that any proper holomorphic self-map of a smoothly bounded
pseudoconvex domain in higher dimensions must be an automorphism.
In this talk, I shall first briefly survey some of the prominent
Alexander-type results. I shall then talk about an extension of
Alexander's Theorem to a certain class of balanced, finite type domains. I
shall also highlight how the use of dynamics in the proof offers some
insight on the aforementioned conjecture.