Algebraic Methods in Combinatorics
- Lecturer: Raul Penaguiao
- Date: Wednesday, 9am - 11am
- Room: Raum SG 2-14
- Keywords: graph theory, convex geometry, extremal combinatorics, ham sandwich theorem
- Prerequisites: Abstract algebra, linear algebra
- Remarks: There is more info at: https://sites.google.com/view/amc-2023/home
Abstract
Combinatorics using some algebraic constructions. We use dimension arguments to get bounds on interesting combinatorial numbers. We study the eigenvalues of adjacency matrices on graphs to get information about graphs at hand. This has great applications in the so called extremal combinatorics. In combinatorial geometry we will be studying combinatorial identities and inequalities that relate to point sets and polytopes. For instance, how many points in R^d can you find such that the distance between any two of them is one of two given real numbers? We will find bounds for these quantities using linear algebra. Finally, we will be studying spectral theory on graphs. This has some interesting combinatorial consequences on graph properties.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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