Mathematics Colloquium سمینار عمومی ریاضیات

TITLE
Set-Theoretic 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 set-theoretic 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 set-theoretic 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/ipm-math-colloquium
 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