IPM Algebraic Geometry Seminar
IPM is holding a biweekly zoom Algebraic Geometry seminar for Fall 2024.
Where: Zoom
Meeting ID: 908 611 6889
Passcode: 13440 × the number of lines on a cubic surface
Seminar mailing list: google group
Poster: here
Past Seminar Series
Upcoming Talks
Speaker: Fatemeh Mohammadi, KU Leuven (Belgium)
Title: Computational tropical geometry and its applications
Abstract: Tropical geometry is a combinatorial counterpart of algebraic geometry, transforming
polynomials into piecewise linear functions and their solutions (varieties) into polyhedral fans. This
transformation is intricately linked to the concept of Gröbner bases, which provide a powerful tool in
computational algebra. Specifically, all possible Gröbner bases of an ideal are encoded within a polyhedral
fan, with the tropical variety appearing as a subfan. Despite its significance, the computational complexity of tropical varieties
often limits computations to small-scale instances.
In this talk, we introduce a geometric approach that enables the effective computation of various points within
tropical varieties. One application of this method is the computation of toric degenerations, which are important objects
in algebraic geometry. These degenerations can be modeled on polytopes, and there exists a dictionary between
their geometric properties and the combinatorial invariants of the corresponding polytopes.
This dictionary can be extended from toric varieties to arbitrary varieties through toric degenerations.
Date: October 16, 2024
Time: 17:30-19:00 (Tehran local time)
Speaker: Farhad Babaee, University of Bristol (UK)
Title: Tropical geometry and currents
Abstract: In this talk, I will review several key concepts in
Tropical Geometry, highlighting the naturality and numerous applications that
arise when integrating the Theory of Positive Closed Currents into this framework. This talk is based
on previous works with June Huh, Karim Adiprasito and ongoing joint work with Tien Cuong Dinh.
Date: October 30, 2024
Time: 17:30-19:00 (Tehran local time)
Speaker: Pietro De Poi, University of Udine (Italy)
Title: On generalised OADP-surfaces
Abstract: TBA.
Date: November 13, 2024
Time: 17:30-19:00 (Tehran local time)
Speaker: Francesco Russo, University of Catania (Italy)
Title: On smooth rational complete intersections
Abstract: TBA.
Date: November 27, 2024
Time: 17:30-19:00 (Tehran local time)
Speaker: Roya Beheshti, Washington University (US)
Title: Tevelev degrees of Fano varieties
Abstract: TBA.
Date: December 11, 2024
Time: 17:30-19:00 (Tehran local time)