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Research Seminars: Algebra and Combinatorics


Past Algebra and Combinatorics:

Spring 2019

Time & Location: All talks are on Wednesday in Gibson Hall 310 at 3:00 PM unless otherwise noted.
Organizer: Mahir Can


January 30

Resurgence number and  Fiber Product of Projective Schemes

Sankhaneel BisuiTulane University

Abstract:

The symbolic powers of a homogeneous ideal  are a well-studied object. In the study of symbolic power itis natural to ask when these symbolic powers contain ordinary powers and vice versa. We can easily check that for any, n I^n \subset I^{(n)}. It is a subtle and generally open problem to determine for which positive integers m,r we have  $I^{(m)} \subset I^r  $. It is now known that for $m > Nr $ that containment holds. Now, what can be said about the bounds for a specific ideal? This question leads to the definition of resurgence number and the asymptotic versions of this number. In this talk, I will introduce the resurgence number and the asymptotic versions of the number. 

Our interest is to investigate the resurgence number of fiber product of projective schemes.  We will also see how resurgence number corresponding to the ideal of the fiber product of the schemes depends on that of the original schemes. While considering the asymptotic resurgence the resurgence number of the fiber product follows a nice relation with the resurgence of the original schemes.  I am going to present the relation and we will also see how there is a possibility of the resurgence number becoming arbitrarily large. 




February 6

Chudnowsky's Conjecture for a general set of points in PNk

Abu ThomasTulane University

Abstract:

thomas_a

 


February 13

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February 20

Sects

Aram BinghamTulane University

Abstract:

ab_2_20_19

 

 


February 27

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March 6

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March 13

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Marius VladoiuPurdue University and the University of Bucharest

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March 20

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Robert WalkerUniversity of Michigan

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March 27

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April 3

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April 10

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April 17

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April 24

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May 1

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May 8

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Mathematics Department, 424 Gibson Hall, New Orleans, LA 70118 504-865-5727 math@math.tulane.edu