Tue, June 16, 2020
Public Access

Category: All

June 2020
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11:00am [11:00am] Dengan Das: IIT Kanpur
Speaker: Debraj Das. Affiliation: IIT Kanpur. Title of the talk: Bootstrap Inference in Regression. Abstract of the talk: https://drive.google.com/file/d/1DH3CM3_mqVMGlEu90lt9giDP6Qy4XLls/view Date and Time: Tuesday 16 June 2020, 11.00am. Meeting link: https://iitbombay.webex.com/iitbombay/j.php?MTID=me8a0b222c39e84e489a4bf137b3b33d0 Meeting number: 166 274 8342 Password: X4VgsQCJu44

3:00pm [3:30pm] Nikolaos Tziolas (Cyprus)
16 June 2020 (Tuesday), 15:30 GMT Speaker: Nikolaos Tziolas (Cyprus). Title: Vector fields on canonically polarized surfaces Abstract: In this talk I will present some results about the geometry of canonically polarized surfaces defined over a field of positive characteristic which have a nontrivial global vector field, equivalently non reduced automorphism scheme, and the implications that the existence of such surfaces has in the moduli problem of canonically polarized surfaces. Zoom link: https://us02web.zoom.us/j/9918493831?pwd=NzJNWmd5Y2h2eXFqbGpiN3Fva1pYQT09 Zoom meeting ID: 991 849 3831 Password: 16-18-June Host: Zsolt Patakfalvi

6:00pm [6:30pm] Madhusudan Manjunath, IIT Bombay
Date and Time: 16 June 2020, 6:30 pm IST - 7:30 pm IST (joining time : 6:15 pm IST - 6:30 pm IST) Google meet link: https://meet.google.com/gkc-hydx-fkn Speaker: Madhusudan Manjunath, IIT Bombay. Title: Frobenius numbers. Abstract: For a natural number $k$, the $k$-th (generalised) Frobenius number of relatively prime natural numbers $(a_1, \dots, a_n)$ is the largest natural number that cannot be written as a non-negative integral combination of $(a_1, \dots, a_n)$ in $k$ distinct ways. We study the $k$-th Frobenius number from a commutative algebraic perspective. We interpret the $k$-th Frobenius number in terms of the Castelnuovo-Mumford regularity of certain modules associated to $(a_1, \dots, a_n)$. We study these modules in detail and using this study, show that the sequence of generalised Frobenius numbers form a finite difference progression, i.e. a sequence whose set of successive differences form a finite set. This talk is based on a joint work with Ben Smith.