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Weekly research seminar
List of talks
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March 4, 2026, 10:30 a.m.
Karol Szumiło (MIM UW)
Batanin–Leinster ω-categories (ω-kategorie Batanina–Leinstera)
I will present the definition of weak ω-categories based on the formalism of so called ”globular operads with contraction”.
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Feb. 25, 2026, 10:30 a.m.
Simona Vesela (MPIM Bonn)
The 1.5-type and stable classification of surfaces in 4-manifolds
The 1.5-type is a structure on a normal bundle of a manifold in between that of the normal 1- and 2-types of modified surgery. In a special case it was first used by Hambleton and …
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Dec. 17, 2025, 10:30 a.m.
Krzysztof Ziemiański (MIM UW)
Kategorie dróg na przestrzeniach skierowanych (2) (Path categories on directed spaces (2))
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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 …
