Orginzed by:
Algebraic geometry seminar and PhD Program in Applied Mathematics of the
Universitat Politècnica de Catalunya. Schedule:
Tuesday March 25, 3:00-5:00pm Tropical Geometry I. Room 101
Wednesday March 26, 12:30pm
Colloquium at the
UB (aula B6) "Can biology lead to new theorems?"
Wednesday
March 26, 16:00pm Seminar at the UB “Powers of linear
forms”. Room B5
Thursday March 27, 9:00-11:00am Homework session. Room 007
Thursday March 27, 3:00-5:00pm Tropical Geometry II. Room 101
Friday March 28, 9:00-11:00am Homework session. Room 007
Friday March 28, 3:00-5:00pm
Tropical Geometry III. Room 101
:
Universitat Politècnica de Catalunya,
Facultat de Matemàtiques i Estadística FME, C/Pau Gargallo 5, Barcelona.
Map and
visual map.
Room 101 (first floor).
Public transport: Metro station Palau Reial line 3 (green), bus lines 7,67,68,74,75.
Practical information.
Abstracts:
Tropical
Geometry I.Tropical Geometry is a piecewise-linear version of algebraic
geometry, where the underlying arithmetic is based on the min-plus
algebra. This lecture gives an introduction to this subject. The
emphasis will lie on drawing pictures and on algorithms for passing
back and forth between classical and tropical objects.
Tropical
Geometry II.
In this lecture we discuss linear spaces and convex polytopes in
tropical geometry, and we examine what happens to classical notions
from linear algebra (matrix rank, nullspace, eigenvalues).
Determinantal varieties and Grassmannians will make a prominent
appearance.
Tropical Geometry III. We
present tropical elimination theory, with an emphasis on discriminants
and resultants, as well as work of Mikhalkin and others on tropical moduli spaces and computing Gromov-Witten invariants.
This is an informal course and there is no formal registration. If you are willing to attend, please send an email to
Marta Casanellas.
Accomodation: please contact
Marta Casanellas if you need help in finding accomodation.