Introduction to tropical geometry
- Lecturer: Alheydis Geiger
- Date: Monday and Tuesday 9-11
- Room: MPI MiS G3 10
- Keywords: tropical geometry, polyhedral geometry, algebraic geometry, applications
- Prerequisites: Linear Algebra, knowledge about algebraic geometry (especially varieties) is helpful, but not necessary.
- Remarks: Homepage for the lecture is: https://sites.google.com/view/tropicalgeometry2023
Abstract
This lecture course features an introduction to tropical geometry, including the necessary parts of polyhedral and convex geometry. This course is meant to bridge the pure-mathematical view of tropical geometry towards a more computational and applied perspective. For this we will use mathematical software in exercises and examples, and, additionally, in the last few weeks, we will consider tropical geometry in the context of neural networks and/or extreme value statistics. During this course exercises will be handed out, which will include computing examples using the software package OSCAR in Julia. It is recommended to install these before the course. Installation instructions can be found here. The lecture course is also open for students from Leipzig University.To keep informed about changes to this lecture subscribe to lecture mailinglist
Regular lectures: Summer semester 2023
- Let’s get \(\mathbb{R}\)eal
- Chiara Meroni
- June 7 and 8, MPI MiS G3 10
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- Bielefeld-Leipzig online seminar: Mathematics of Machine Learning
- Benjamin Gess
- Wednesdays 16:15-17:45, Live Stream
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- Two phase free boundary problem for harmonic measure: blow-up techniques
- Max Goering
- Tuesdays, 09.30-11.00, MPI MiS A3 01
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- Reading Group: Analysis and Geometry of Markov Diffusion Operators
- Fenna Müller, Zachary Adams
- Thursdays 15:15, starting April 13th, MPI MiS E2 10
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- Reading Group in Algebraic Statistics
- Eliana Duarte, Ben Hollering
- Thursdays at 1:30 pm, MPI MiS G3 10
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- Mathematical Foundations of Machine Learning
- Jürgen Jost
- Friday, 14-15.30 (First lecture on April 21 starts at 9 AM), MPI MiS A3 01
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- IMPRS-Ringvorlesung
- Alexey Bufetov, Simon Telen
- Thursdays April 13 (room G3 10!), 20, 27; May 4, 11, 25; June 1, 8: always from 10.30-12.00
- MPI MiS E2 10
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- The Mathematics and Computer Science behind Games and Puzzles (Research--Outreach)
- Erika Roldan
- postponed to winterterm 2023/24, MPI MiS A3 01
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- Introduction to tropical geometry
- Alheydis Geiger
- Monday and Tuesday 9-11, MPI MiS G3 10
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- Algebraic Geometry II -- Intersection Theory
- Rainer Sinn
- Montags von 11 bis 13 Uhr und Donnerstags von 15 bis 17 Uhr (tentative)
- Montags in SG 3-12 und Donnerstags in SG 2-14
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- Infrastructure for mathematics
- Christiane Görgen
- possibly Fridays 9-11, not confirmed yet, Leipzig university (n.n.)
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- Algebraic Methods in Combinatorics
- Raul Penaguiao
- Wednesday, 9am - 11am, Raum SG 2-14
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- Number Theory meets Tropical Geometry
- Sachi Hashimoto
- April 14, 2-3pm, April 17 - 20 2pm - 5pm, April 21 10am - 12pm, MPI MiS G3 10
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