
Mathematics Colloquium

سمینار عمومی ریاضیات




TITLE

SetTheoretic Complete Intersections and Local Cohomology



SPEAKER

Robin Hartshorne



University of California, Berkeley







TIME

Wednesday, February 24, 2021,


19:30  20:30




VENUE 
Online



SUMMARY 


A variety $V$ of codimension $r$ in a projective space $\mathbb{P}^n$ is called a settheoretic complete intersection if $V$, as a set, is the intersection of exactly $r$ hypersurfaces in $\mathbb{P}^n$. I will discuss the history of the general problem, which varieties $V$ are s.t.c.i., with special attention to the still open problem, is every irreducible nonsingular curve in $\mathbb{P}^3$ a settheoretic complete intersection? In particular I will mention several algebraic criteria, including local cohomology that can in principle be used to show that certain varieties are not s.t.c.i.
To get more information about the colloquium, join to the following google group:
https://groups.google.com/g/ipmmathcolloquium




تهران، ضلع جنوبی
ميدان شهيد باهنر (نياوران)، پژوهشگاه
دانشهای بنيادی، پژوهشکده رياضيات
School of
Mathematics, Institute for Research in
Fundamental Sciences (IPM), Niavaran
Bldg., Niavaran Square, Tehran
ipmmath@ipm.ir
♦ +98 21
22290928 ♦
math.ipm.ir 


