


Analysis and PDE seminar
Thursday 16th Nov, 2023, 3.304.30 pm
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Venue: Ramanujan Hall
Host: Chandan Biswas
Speaker : Chandan Biswas, IIT Bombay
Title: A basic introduction to Fourier restriction estimates
Abstract: This is the sixth talk of the series. We will finish our discussion on Fourier restriction to the moment curve.
Commutative algebra Seminar
Thursday 16 Nov 45 pm
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Venue: Room 215
Host: Tony Puthenpurakal
Speaker: R. V. Gurjar, IIT Bombay
Title: BrieskornPham Singularities.
Abstract: Let B=k[X_1,...,X_{n+1}]/(X_1^{a_1}+...+X_{n+1}^{n+1}) where k is the field of complex numbers and X the corresponding affine variety. These have been studied from many angles: (1) BrieskornPham, Milnor, (2) from the topological viewpoint, giving rise to exotic spheres. (3) Storch for calculating the divisor class group of B (4) Flenner, Keichi Watanabe for characterizing rational singularities among them. (4) Recently Michael Chitayat wrote a beautiful thesis at Univ. of Ottawa characterizing 3dimensional BP singularities that admit a nontrivial locally nilpotent derivation (which is equivalent to having a G_a action on X). He has solved a conjecture about this completely. (5) I asked Michael which of the 3dimensional BP singularities define rational varieties in the sense of function field. Using ideas in his thesis he answered this completely.