Personal tools
You are here: Home Events Complete Intersections of Quadrics

Complete Intersections of Quadrics

— filed under:

Nicolas Addington (Imperial College, London) - Seminar Algebraic Geometry (SAG)

What
  • Seminar
When Dec 02, 2010
from 10:30 am to 11:30 am
Where Hörsaal MPI Bonn (Vivatsgasse 7)
Contact Name Sachinidis
Add event to calendar vCal
iCal

There is a long-studied correspondence between intersections of two quadrics and hyperelliptic curves. It was first noticed by Weil in the 50s and has since been a testbed for many theories: Hodge theory and motives in the 70s, derived categories in the 90s, Floer theory and mirror symmetry today. The two spaces are connected by some moduli problems with a very classical flavor, involving lots of lines on quadrics, or more fashionably by matrix factorizations. The story extends easily to intersections of three quadrics and double covers of P2, but going to four quadrics, the double covers becomes singular. I produce a non-Kaehler resolution of singularities with a clear geometric meaning, and relate its derived category to that of the intersection . As a special case I get a pair of derived-equivalent Calabi-Yau 3-folds. The example nicely illustrates the modern theory of flops and derived categories.

August 2020 »
August
MoTuWeThFrSaSu
12
3456789
10111213141516
17181920212223
24252627282930
31