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Seminar Algebraic Topology

Weekly research seminar


Organizers

Information

Wednesdays, 10:30 a.m. , room: 4070

Home page

http://duch.mimuw.edu.pl/~aweber/STA/

Research fields

List of talks

  • June 8, 2021, 4:30 p.m.
    Jarek Kędra (University of Aberdeen)
    On quasimorphisms invariant under automorphisms
    Quasimorphisms comprise a good function theory on groups and many groups admits an abundance of them. It was recently discovered by Brandenbursky and Marcinkowski that the free group on two generators admits a quasimorphism that …

  • May 25, 2021, 4:30 p.m.
    Agnieszka Bodzenta (MIMUW)
    Ringel duality
    Quasi-hereditary algebras and, more generally, highest weight categories first appeared as categories of perverse sheaves on a stratified topological space. Another example is the category O of Bernstein-Bernstein-Gelfand. In the talk I will recall the …

  • May 18, 2021, 4:30 p.m.
    Adam Przeździecki (SGGW)
    Set-theoretic problems in constructing localizations
    https://www.mimuw.edu.pl/~aweber/STA/AP-lokalizacja.pdf

  • May 11, 2021, 4:30 p.m.
    Maria Yakerson (ETH Zürich)
    Algebraic and hermitian K-theory in motivic homotopy theory
    Algebraic K-theory space, as a motivic space, has a known geometric model given by (Z copies of) the infinite Grassmannian. In the new geometric model that we offer, the infinite Grassmannian is replaced by the …

  • April 27, 2021, 4:30 p.m.
    László Fehér (Eötvös Loránd University, Budapest)
    Plücker formulas and motivic classes of coincident root loci
    https://www.mimuw.edu.pl/~aweber/STA/plucker-abstract.pdf

  • April 20, 2021, 4:30 p.m.
    Akos Matszangosz (Renyi Institute (Budapeszt))
    Cohomology rings of real flag manifolds
    The cohomology ring of a complex (partial) flag manifold has two classical descriptions; a topological one (via characteristic classes) and a geometric one (via Schubert classes). Similar descriptions are well-known for real flag manifolds X …

  • April 13, 2021, 4:30 p.m.
    Tomasz Maszczyk (UW)
    The Hochschild cohomology for abstract convexity and the Shannon entropy
    The Shannon entropy was introduced as a statistical measure of the information loss but appears in other fields of mathematics as well. We will start from the survey of the Faddeev algebraic characterization theorem and …

  • March 30, 2021, 4:30 p.m.
    Denis Nardin (Regensburg)
    Hermitian K-theory of rings
    The theory of quadratic and symmetric bilinear forms over rings has traditionally been more developed when 2 is invertible in the ring. In this talk we will present a new approach allowing to put some …

  • March 23, 2021, 4:30 p.m.
    Tibor Macko (Slovak Academy of Sciences)
    Cobordisms of quadratic chain complexes
    A fundamental problem in surgery theory is to decide whether a given finite CW-complex X of dimension n>=5 satisfying Poincare duality is homotopy equivalent to a topological manifold. In the classical surgery theory due to …

  • March 16, 2021, 4:30 p.m.
    Bruno Stonek (IMPAN)
    Tensors of Thom spectra with spaces: generalizing Mahowald's Thom isomorphism
    The topological Hochschild homology (THH) of a commutative ring spectrum R can be expressed as a tensor with a circle. More generally, one can tensor R with any space X. In this talk we will …

  • March 9, 2021, 4:30 p.m.
    Patryk Jaśniewski (UW)
    Homological structure of the category of strict polynomial functors of prime degree p
    https://www.mimuw.edu.pl/~aweber/STA/21.03.09.pdf

  • Jan. 26, 2021, 4:30 p.m.
    Andrzej Szczepański (UG)
    Combinatorial Hantzsche-Wendt group
    Let n\in N. By a combinatorial Hantzsche-Wendt group we shall understand a finite presented group G_n = {x_1, ..., x_n  |  x_i^{-1} x_j^2 x_i x_j^2  \forall i\neq j}. During a talk I will present properties …

  • Jan. 19, 2021, 4:15 p.m.
    Jörg Schürmann (Munster)
    Equivariant) characteristic classes of singular toric varietie
    In this survey talk, we discuss for singular toric varieties different (equivariant) characteristic classes like Chern, Todd, L and Hirzebruch classes, with applications to (weighted) lattice points counting and Euler-MacLaurin type formulae for lattice polytopes.

  • Dec. 22, 2020, 4:30 p.m.
    Józef Przytycki (George Washington University)
    What is new in skein modules of 3-manifolds? - Personal perspective.
    Skein modules of 3-manifolds have had their renaissance in the last 5 years. It is to a great extend because of interest in them by theoretical physicists, in particular Edward Witten. I will discuss Witten …

  • Dec. 15, 2020, 4:30 p.m.
    Krzysztof Ziemiański (MIMUW)
    About directed spaces and braid groups
    Precubical sets are important examples od directed space; they also play an important role in concurrency theory. The main goal of this talk is to show that the space of directed paths on the final …