Mathematics

• Research seminars

  E17fA1.4
  • 19209316 Research Seminar
    Research Seminar Combinatorics (Tibor Szabo)
    Schedule: Mi 16:00-18:00 (Class starts on: 2024-04-17)
    Location: A3/SR 120 (Arnimallee 3-5)
    

    Comments

    For schedule and abstracts please follow the link to "Combinatorics Seminar".

  • 19209716 Research Seminar
    Research Seminar Geometry and Topology (Holger Reich)
    Schedule: Di 16:00-18:00 (Class starts on: 2024-04-16)
    Location: A6/SR 009 Seminarraum (Arnimallee 6)
    

    Comments

    Content: Talks by masters and Phd students about ongoing work and selected research topics as well as guest talks. For the research topic for this semester please have a look at the homepage.

    Detailed Information can be found on the Homepage of our research seminar.

  • 19210016 Research Seminar
    Research Seminar Complex Analysis (Alexander Schmitt)
    Schedule: Di 16:00-18:00 (Class starts on: 2024-04-16)
    Location: A3/SR 120 (Arnimallee 3-5)
    

    Comments

    Contents:
    Current topics in the fields of complex analysis and algebraic geometry.

    
    Target group:
    Doctoral candidates and students writing their Bachelor's or Master's thesis in the field of Complex Analysis.

     

  • 19210716 Research Seminar
    Research Seminar Discrete Geometry (Georg Loho)
    Schedule: Do 14:00-16:00 (Class starts on: 2024-04-18)
    Location: A6/SR 032 Seminarraum (Arnimallee 6)
    

    Comments

    Research Seminar and Colloquium of the "Discrete Geometry" group at FU Berlin: Guests as well as members of the group report about their own research, new developments, problems and insights.

    Topics include: Discrete Geometry (polytopes, point configurations and arrangements, linear and integer programs, integer points, etc.), Topological and Algebraic Combinatorics, Real Algebraic Geometry, Discrete, Linear and Integer Optimization, Computational Geometry, and more. 

  • 19215516 Research Seminar
    Research Seminar Computational Statistical & Biological Physics (Felix Höfling)
    Schedule: -
    Location: keine Angabe
    

    Additional information / Pre-requisites

    The seminar takes place every Friday, 10:30 to 12:00 a.m., in room 126, Arnimallee 6

    Comments

    This Forschungsseminar is a weekly meeting of the Compuational Statistical & Biological Physics group. It serves as a discussion platform featuring status report, paper presentations, and guest talks.

  • 19218116 Research Seminar
    Research Seminar Geometry and Visualisation (Konrad Polthier)
    Schedule: Do 14:00-16:00 (Class starts on: 2024-04-18)
    Location: A6/108/109 Seminarraum (Arnimallee 6)
    

    Additional information / Pre-requisites

    Takes place in room 108/109, Arnimallee 6.

    Comments

    This course is aimed at students and doctoral candidates who want to graduate or do a doctorate in the field of mathematical geometry processing. In the weekly seminar the latest research results are presented and discussed.

  • 19218216 Research Seminar
    Research Seminar Stochastics (Nicolas Perkowski)
    Schedule: Fr 10:00-12:00, zusätzliche Termine siehe LV-Details (Class starts on: 2024-04-19)
    Location: A3/SR 115 (Arnimallee 3-5)
    

    Comments

    Content: Talks by masters and Phd students about ongoing work and selected research topics as well as guest talks.

    Detailed Information can be found on the Homepage of our research seminar.

  • 19223516 Research Seminar
    Research Seminar Polytopes and Algebraic Geometry (Christian Haase)
    Schedule: Fr 10:00-12:00, zusätzliche Termine siehe LV-Details (Class starts on: 2024-03-12)
    Location: A3/019 Seminarraum (Arnimallee 3-5)
    

    Additional information / Pre-requisites

    There will be a preliminary meeting March 12 from noon to 2. The room will be announced here.

    Comments

    In the seminar, bachelor and master students as well as doctoral students will report on their research work for their final theses. The programme will be complemented by guest lectures and the presentation of interesting articles.

    The theme this term will be to understand the paper [LLPP]. Possible talks:

    Hyperplane arrangements:

    1. Definitions and examples (coordinate arrangement, braid arrangement, graphical arrangements) [9]
    2. Counting of regions, intersection lattice, characteristic polynomial. [9]
    3. Topology of the complement (Betti numbers, cohomology, fundamental group) [8, Chapter 5].
    4. Wonderful compactifications (Blow up construction, closure construction)  [6] or original paper [2]

    Matroids:

    1. Definitions and examples (representable, graphical) [9,5]
    2. Matroid Fans and their Chow ring, relation to the chow ring of wonderful compactifications [3,5] also original paper [7]
    3. Different presentations of Chow ring of a fan [3]

    K-theory:

    1. Line bundles, Vector bundles, Chern classes, Whitney formula [4, Chapters 1.4 and 5]
    2. Chern character, Grothendieck Riemann–Roch [4, Chapter 14]
    3. K-ring of wonderful varieties [LLPP]

    Suggested reading

    [LLPP] Larson, Li, Payne, Proudfoot. K-rings of wonderful varieties and matroids, https://arxiv.org/pdf/2210.03169.pdf

    [1] Ardila–Mantilla. Intersection theory of matroids: variations on a theme, https://arxiv.org/pdf/2401.07916.pdf

    [2] De Concini, Procesi. Wonderful models of subspace arrangements, https://link.springer.com/article/10.1007/BF01589496

    [3] Denham. Toric and tropical compactifications of hyperplane complements,  https://arxiv.org/pdf/1306.3519.pdf

    [4] Eisenbud, Harris. 3264 and All That A Second Course in Algebraic Geometry, https://www.cambridge.org/core/books/3264-and-all-that/

    [5] Eur. Essence of independence: Hodge theory of matroids since June Huh, https://arxiv.org/pdf/2211.05724.pdf

    [6] Feichtner. De Concini-Procesi wonderful arrangement models - A discrete geometer's point of view, https://arxiv.org/pdf/math/0403183.pdf

    [7] Feichtner, Yuzvinsky. Chow rings of toric varieties defined by atomic lattices, https://arxiv.org/pdf/math/0305142.pdf

    [8] Orlik, Tarao. Arrangements of Hyperplanes, https://link.springer.com/book/10.1007/978-3-662-02772-1

    [9] Stanley. An Introduction to Hyperplane Arrangements, https://www.cis.upenn.edu/~cis6100/sp06stanley.pdf

     

  • 19246816 Research Seminar
    Research Seminar Numerical Analysis of stochastic and deterministic partial differential equations (Claudia Schillings)
    Schedule: Do 12:00-14:00 (Class starts on: 2024-04-18)
    Location: A7/SR 140 Seminarraum (Hinterhaus) (Arnimallee 7)
    

    Comments

    Talks by PhD students and guests of the group Numerical analysis of stochastic and deterministiv partial differential equations.

  • 19247816 Research Seminar
    Langenbach-Seminar on nonlinear partial differential equations (Marita Thomas)
    Schedule: Mi 14:00-16:00 (Class starts on: 2024-04-17)
    Location: keine Angabe
    

    Comments

    The Langenbach-Seminar on nonlinear partial differential equations is a research seminar, where researchers from Berlin and international guests present their latest results in the field of nonlinear partial differential equations. The Langenbach-Seminar takes place on Wednesday afternoon at the Weierstrass Institute for Applied Analysis and Stochastics (WIAS) and is co-organized by Annegret Glitzky, Alexander Mielke, Marita Thomas, and Barbara Zwicknagl.