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Texas A&M University
Mathematics

Student/Postdoc Working Geometry Seminar

Spring 2019

 

Date:January 15, 2019
Time:1:00pm
Location:BLOC 628
Speaker:CJ Bott, TAMU
Title:Mukai I
Abstract:Over the semester we will work through Mukai's book An introduction to invariants and moduli. Translated from the 1998 and 2000 Japanese editions by W. M. Oxbury. Cambridge Studies in Advanced Mathematics, 81. Cambridge University Press, Cambridge, 2003. xx+503 pp. ISBN: 0-521-80906-1

Date:January 24, 2019
Time:1:00pm
Location:BLOC 628
Speaker:A. Pal, TAMU
Title:Mukai II

Date:January 29, 2019
Time:1:00pm
Location:BLOC 628
Speaker:JM Landsberg, TAMU
Title:The border apolarity method

Date:January 31, 2019
Time:1:00pm
Location:BLOC 628
Speaker:C.J. Bott, TAMU
Title:Mukai III

Date:February 5, 2019
Time:1:00pm
Location:BLOC 628
Speaker:E. Ventura, TAMU
Title:On the monic rank
Abstract:We introduce the monic rank of a vector relative to an affine-hyperplane section of an irreducible Zariski-closed affine cone X. This notion is well-defined and greater than or equal to the usual X-rank. We describe an algorithmic technique based on classical invariant theory to determine, in concrete situations, the maximal monic rank. Using this technique, we establish three new instances of a conjecture due to Shapiro which states that a binary form of degree $d\times e$ is a sum of $d$ many $d$-th powers of forms of degree $e$. This is joint work with A. Bik, J. Draisma, and A. Oneto.

Date:February 7, 2019
Time:1:00pm
Location:BLOC 628
Speaker:A. Pal
Title:Mukai IV

Date:February 14, 2019
Time:1:00pm
Location:BLOC 628
Speaker:CJ Bott, TAMU
Title:Mukai V

Date:February 19, 2019
Time:1:00pm
Location:BLOC 628
Speaker:JM Landsberg, TAMU
Title:More border apolarity

Date:February 21, 2019
Time:1:00pm
Location:BLOC 628
Speaker:CJ Bott, TAMU
Title:Mukai VI

Date:February 28, 2019
Time:1:00pm
Location:BLOC 628
Speaker:A. Pal, TAMU
Title:Mukai VII

Date:March 7, 2019
Time:1:00pm
Location:BLOC 628
Speaker:CJ Bott, TAMU
Title:Mukai VIII

Date:March 19, 2019
Time:1:00pm
Location:BLOC 628
Speaker:A. Harper, TAMU
Title:Resolution of singularities and the permanent

Date:March 21, 2019
Time:1:00pm
Location:BLOC 628
Speaker:A. Pal, TAMU
Title:Mukai IX

Date:March 26, 2019
Time:1:00pm
Location:BLOC 628
Speaker:A. Conner, TAMU
Title:Programing the Border apolarity algorithm

Date:March 28, 2019
Time:1:00pm
Location:BLOC 628
Speaker:CJ Bott, TAMU
Title:Mukai X

Date:April 2, 2019
Time:1:00pm
Location:BLOC 628
Speaker:A. Conner, TAMU
Title:Implementing border multi-graded apolarity

Date:April 4, 2019
Time:1:00pm
Location:BLOC 628
Speaker:A. Pal, TAMU
Title:Mukai XI

Date:April 9, 2019
Time:1:00pm
Location:BLOC 628
Speaker:K. Bari, TAMU
Title:Plethysm and fast matrix multiplication
Abstract:This will be an exposition of Seynnaeve's paper: https://www.sciencedirect.com/science/article/pii/S1631073X17303047?via%3Dihub

Date:April 11, 2019
Time:1:00pm
Location:BLOC 220
Speaker:C.J. Bott, TAMU
Title:Mukai XII

Date:April 16, 2019
Time:1:00pm
Location:BLOC 628
Speaker:CJ Bott/Arpan Pal, TAMU
Title:Mukai XIII

Date:April 18, 2019
Time:1:00pm
Location:BLOC 628
Speaker:JM Landsberg, TAMU
Title:Determining the module structure for ideals of G-varieties

Date:April 23, 2019
Time:1:00pm
Location:BLOC 628
Speaker:A. Harper, TAMU
Title:Yoneda's Lemma, the functor of points and Deligne-Mumford Stacks

Date:April 25, 2019
Time:1:00pm
Location:BLOC 628
Speaker:JM Landsberg, TAMU
Title:Border apolarity: a dual perspective

Date:May 2, 2019
Time:1:00pm
Location:BLOC 624
Speaker:Arpan Pal, TAMU
Title:Mukai XIV

Date:May 7, 2019
Time:1:00pm
Location:BLOC 628
Speaker:A. Pal and CJ Bott, TAMU
Title:Mukai XV

Date:May 17, 2019
Time:1:00pm
Location:BLOC 628
Speaker:A. Harper, TAMU
Title:The Hilbert scheme for zero dimensional schemes of length r