11. January 
Algebra lunch and planning session

18. January 
Kristian Ranestad (Oslo)
The convex hull of a space curve
Abstract:
The boundary of the convex hull of a compact algebraic
curve in real 3space defines a real algebraic surface. For general
curves, that boundary surface is reducible, consisting of tritangent
planes and a scroll of stationary bisecants. In recent work with
Sturmfels we extend classical formulas to express the degree of this
surface in terms of the degree, genus and singularities of the
curve. For rational curves we present methods for computing their
defining polynomials, and exhibit a range of examples.

25. January 
Lunch

1. February 
Lunch (and discussing the seminar series)

8. February 
Lunch

15. February 
Lunch

22. February 
Michal Kapustka (Oslo)
A duality for K3 surfaces of genus 10

1. March 
Seminar series on Moduli Stacks, talk 1
John Christian Ottem (Oslo)
Introduction and examples

8. March 
Lunch

15. March 
Seminar series on Moduli Stacks, talk 2
Jan Christophersen (Oslo)
Etale topology and algebraic spaces

22. March 
Seminar series on Moduli Stacks, talk 3
Arne B. Sletsjøe (Oslo)
Groupoids and stacks I

29. March 
Easter break

5. April 
Easter break

12. April 
Seminar series on Moduli Stacks, talk 4
Daniel Larsson (HiO)
Groupoids and stacks II

19. April 
Lunch

26. April 
Seminar series on Moduli Stacks, talk 5
Geir Ellingsrud (Oslo)
Applications of stacks to moduli questions

3. May 
Anthony Iarrobino (Northeastern University)
Commuting nilpotent matrices and Artin algebras
Abstract

10. May  Helge Maakestad On
the annihilator ideal of a highest weight vector Abstract:
Let E be a finite dimensional vector space over an algebraically
closed field K of characteristic zero and let G=SL(E) be the special
linear group on E. Let V be an irreducible finite dimensional
Gmodule with highest weight vector v and highest weight \lambda. Let
ann(v) in U(sl(E)) be the left annihilator ideal of v and let ann_l(v)
be its canonical filtration. In this talk I will construct a
complement U_l(sl(E)) = U_l(n)\oplus ann_l(v) of the
annihilator ideal ann_l(v). The complement is given by the universal
enveloping algebra of a sub Lie algebra n=n(E_*) in sl(E) depending on
a flag E_* in E determined by the highest weight \lambda for V. I will
use the complement U_l(n) to define a canonical basis for U_l(sl(E))v
 the canonical filtration for V. I will also calculate the dimension
of U_l(sl(E))v. The canonical filtration U_l(sl(E))v is related to
the fiber of the jet bundle J_l(L)(e) where L in Pic^G(G/P) and P in G
is a parabolic subgroup. There is an isomorphism J_l(L)(e)^*
\cong U_l(sl(E))v of Pmodules. If time permits I will discuss
the relationship between the canonical filtration, jet bundles and
discriminants of linear systems on flag schemes. To the discriminant
of a linear system on any flag scheme one may associate a double
complex  the discriminant double complex  and to determine this
complex one needs information on the jet bundle. It is hoped the
relationship between the jet bundle and the canonical filtration will
give enough information on the jet bundle to be able to determine if
the discriminant double complex may be used to construct a resolution
of the ideal sheaf of the discriminant.

17. May 
Bank holiday

24. May 
Bank holiday

31. May 
Lunch

7. June 
Abdul Mohammad (Oslo)
Smooth rational surfaces of degree eleven and sectional genus
eight in the projective fivespace

14. June 
Lunch

21. June 
Lunch
