|
PhD Students Conference on Tropical
Geometry
December 11 - 12, 2009
Technische Universität Berlin
Organized by: Margarita Rutgayzer (Humboldt-Universität zu Berlin, BMS), Kirsten Schmitz (Universität
Osnabrück)
Tropical Geometry is a rapidly growing field of
mathematics which establishes a deep connection between Algebraic
Geometry and Combinatorics. There are various applications of
Tropical Geometry for example in Enumerative Geometry, Dynamical
Systems or Algebraic Statistics.
The goal of this
conference is to introduce different aspects of Tropical Geometry
to young mathematicians either already familiar with Tropical
Geometry or new to the subject. There will be an introductory
talk on each of the two days given by an expert in the field.
After this there will be talks by PhD students from different
mathematical research groups in Germany. The different approaches
of these groups to Tropical Geometry and some of their results
will be explained.
Registration
Please
register by sending an email to tropicalgeo@gmail.com mentioning
name and affiliation.
We will be able to reimburse a limited
number of participants for travel and accommodation expenses. If
you request this support, please let us know along with your
registration email.
Venue
TU Berlin, Mathematics Building, Strasse des
17. Juni 136, Room MA 041
Participant List
View
a List of Registered Participants
Schedule
Friday December 11,
2009
Saturday December 12,
2009
* Unfortunately Till Wagner could not attend the
conference, so instead of the talk "Tropicalization of
Elliptic Curves" we had the talk "Generic Tropical
Varieties" by Kirsten Schmitz.
In these talks we will see that Tropical Geometry can be
approached from many different points of view starting from
different classical branches in mathematics such as Algebraic
Geometry, Discrete Mathematics or Commutative Algebra. It can for
example be described as Geometry over a max-plus algebra. A
notion of tropical convexity can be defined which leads to
interesting questions and results in Tropical Discrete
Mathematics. Alternatively we can view Tropical Geometry as a
tool in Algebraic Geometry which associates combinatorial objects
to algebraic varieties. Many notions of Algebraic Geometry can be
defined in the Tropical world leading for example to a Tropical
Intersection Theory. Of particular interest are tropicalizations
of algebraic curves which have been studied in many different
settings. Many enumerative problems in Algebraic Geometry can be
solved this way. As a very different approach tropical curves can
be viewed as limit sets of so called amoebas which arise as
images under a logarithmic map.
Directions: Visitors
Guide TU Berlin
Accommodations: Look at
the following list of hotels
Contact: Please don't hesitate to contact us
at tropicalgeo@gmail.com if you have any questions.
Sponsored
by: Berlin Mathematical
School, International Research Training Group Arithmetic
and Geometry
Look At
Links
|