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Weekly research seminar
List of talks
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Dec. 10, 2025, 10:30 a.m.
Alvaro Del Valle Vilchez (Universidad de Sevilla)
Arc index and Turaev genus: a new conjecture for links
The Turaev genus gT is a numerical invariant of knots and links that measures how far a link is from being alternating (that is, from admitting an alternating diagram). Determining whether a link is alternating …
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Dec. 3, 2025, 10:30 a.m.
Krzysztof Ziemiański (MIM UW)
Kategorie dróg na przestrzeniach skierowanych (Path categories on directed spaces)
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Nov. 26, 2025, 10:30 a.m.
Karol Janowicz
Kategorie funktorów i kohomologie grupy liniowej (Categories of functors and cohomology of linear groups)
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Nov. 19, 2025, 10:30 a.m.
Karol Szumiło (MIM UW)
Wieże Postnikowa–Whiteheada w (∞,1)-kategoriach (Postnikov–Whitehead Towers in (∞,1)-Categories)
I will discuss the theory of factorization systems in (∞,1)-categories and I will show that it is a natural formalism for a generalization of Postnikov–Whitehead towers of classical algebraic topology. They correspond to the family …
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Nov. 12, 2025, 10:30 a.m.
Franciszek Nowak
Ekwiwariantne formalne prawa grupowe, klasa praw multiplikatywnych i perspektywy na klasę praw hiperbolicznych
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Nov. 5, 2025, 10:30 a.m.
Andrzej Weber (MIM UW)
Przewodnik po eliptycznych rodzajach (Guide to elliptic genera)
The Euler characteristic has the following property: for a fiber bundle F->E->B, we have χ(E)=χ(F)χ(B). Restricting the class of fibrations yields a broader family of multiplicative genera. In this way Landweber–Stong elliptic genus arise. Within …
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Oct. 29, 2025, 10:30 a.m.
Robert Skiba (UMK Toruń)
Zastosowania K-teorii w równaniach różniczkowych (Applications of K-theory in differential equations)
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Oct. 15, 2025, 10:30 a.m.
Mateusz Kujawski (UKEN Kraków)
Watanabe's exotic families of diffeomorphisms
The study of diffeomorphism groups of manifolds has been an active area of research since the 1960's. One of the most important questions is understanding the homotopy type of Diff(D4, ∂D4) -- the group of …
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June 11, 2025, 10:15 a.m.
Józef Przytycki (George Washington University)
Survey of Homology of Yang-Baxter operators
The homology of Yang-Baxter operators were discovered/constructed by Victoria Lebed and the speaker in Spring of 2012. They generalize homology of racks, quandles, and set theoretic Yang-Baxter operators. A proper visualization of precubic modules gives …
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May 28, 2025, 10:15 a.m.
Piotr Sułkowski (FUW)
Topological strings, field theories and symmetric quivers
Topological or supersymmetric (Seiberg-Witten-like) field theories in various dimensions can be engineered by topological string theory on suitable Calabi-Yau manifolds (with a choice of lagrangian submanifolds), so that string amplitudes encode quantities associated to these …
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May 21, 2025, 10:15 a.m.
Lorenzo Sadun (University of Texas at Austin)
Tiling spaces, inverse limits and cohomology
Tiling dynamical systems are of both topological and dynamical interest. The set of tilings with a given local structure is a ``matchbox manifold'', locally modeled on the product of a Cantor set with Euclidean space. …
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May 14, 2025, 10:15 a.m.
Dominik Gdesz (UWr)
Khovanov-Rozansky homology of torus links
In 2019 Matthew Hogancamp and Anton Mellit used the Soergel bimodules approach to Khovanov-Rozansky homology to compute it in the case of torus links T(m,n) for non-negatuve m,n. We show an outline of this computation …
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April 30, 2025, 10:15 a.m.
Joachim Jelisiejew (MIM UW)
Algebraic links and affine Springer fibers
I will explain affine Springer theory and its connections to Hilbert schemes, braid varieties. This is the last big object in the Gorsky-Kivinen-Simental notes. I will also cover connections to the previous lectures in the …
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April 23, 2025, 10:15 a.m.
Piotr Kucharski
Knot-quiver correspondence and the topological invariants
In this talk I will introduce the knot-quiver correspondence with a special emphasis of the role of the Labastida-Marino-Ooguri-Vafa invariants of knots and Donaldson-Thomas invariants of quivers.
