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Weekly research seminar
List of talks
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March 11, 2026, 10:30 a.m.
Adam Grzela
Wymierne klasy homotopii i minimalizacja energii (Minimizing energy in rational homotopy classes)
In 1998 T. Rivière proved that there exist infinitely many homotopy classes of π3(S2) having a minimizing 3-harmonic map. This result is especially surprising taking into account that in π3(S3) there are only three homotopy …
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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 …
