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Weekly research seminar
Organizers
- dr hab. Andrzej Weber, prof. ucz.
- dr Krzysztof Ziemiański
Information
Wednesdays, 10:30 a.m. , room: 4070Home page
http://duch.mimuw.edu.pl/~aweber/STA/Research fields
List of talks
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April 9, 2025, 10:15 a.m.
Maciej Borodzik (MIM UW)
Khovanov-Rozansky theories in terms of matrix factorisations
We give a sketch of a construction of Khovanov-Rozansky homology via matrix factorization. We focus on explaining the rich homological structure of the construction. The work is based on Khovanov-Rozansky original construction and on the …
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March 26, 2025, 10:15 a.m.
Wojciech Politarczyk (MIM UW)
Soergel bimodules and Khovanov-Rozansky HOMFLY-PT homology
Abstract: We will outline the constructions of the Khovanov-Rozansky HOMFLY-PT homology, which categorifies the HOMFLY-PT polynomial. Additionally, we will discuss basic properties of this invariant.
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March 19, 2025, 10:15 a.m.
Mieszko Baszczak (MIM UW)
Braid Varieties
I will talk about braid varieties which are certain objects defined via braids. They have a lot of connections, for example with links, point counting and flag varieties. In my talk I will focus on …
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March 12, 2025, 10:15 a.m.
Robert Szafarczyk (University of Copenhagen)
An obstruction to lifting schemes to spectral schemes
There is a relatively simple purly algebraic obstruction, due to Nikolaus, for lifting commutative rings to the sphere spectrum. As an application, it recovers a classical result on non-existence of fully commutative multiplicative structures on …
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March 5, 2025, 10:15 a.m.
Mikołaj Rotkiewicz (MIMUW)
On classical algebraic structures on higher-order analogs of Lie Algebroids (O klasycznych strukturach algebraicznych na wyższych analogach algebroidów Liego)
Pojęcie \emph{algebroidu wyższego rzędu}, wprowadzone w pracy \emph{Higher-order analogs of Lie algebroids via vector bundle comorphisms} (M. Jóźwikowski, M. Rotkiewicz, SIGMA 2018), stanowi uogólnienie zarówno wiązki stycznej rzędu $k$, $\tau^k_M: \mathrm{T}^k M \to M$, jak …
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Jan. 15, 2025, 10:30 a.m.
Marcin Chałupnik (MIMUW)
Moduły Yettera-Drinfelda nad algebrą Steenroda i kategorie funktorów
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Oct. 16, 2024, 10:30 a.m.
Arturo Espinosa Baro (UAM)
(Sequential) topological complexity of aspherical spaces and sectional categories of subgroup inclusions
The topological complexity (TC) of a topological space is a homotopy invariant introduced by M. Farber to study the order of instability of motion planning algorithms of configuration spaces of mechanical and autonomous systems. Different …
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Oct. 9, 2024, 10:30 a.m.
Andrzej Weber (MIMUW)
Basics about elliptic characteristic classes and singularities (Podstawy o eliptycznych klasach charakterystycznych i osobliwościach)
I will motivate why the elliptic characteristic classes are well adapted to study singular algebraic varieties. The blow-up relation forces that the formal power series defining elliptic classes is up to a modificarion equal to …
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June 12, 2024, 10 a.m.
Jakub Paliga (MIMUW)
Spektra Khovanova
Dla dowolnego diagramu splotu D, Lipshitz i Sarkar skonstruowali zawieszenie CW-kompleksu X(D), którego kompleks komórkowy jest izomorficzny z kompleksem Khovanova CKh(D). Stabilny typ homotopijny przestrzeni X(D) jest niezmiennikiem splotów i zawiera istotnie więcej informacji niż …
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May 29, 2024, 10:30 a.m.
Józef Przytycki (GWU/UG)
Survey of skein modules, with the infinitely generated Kauffman bracket skein module of the connected sum of two solid tori as a case study (Survey of skein modules with the infinitely generated Kauffman bracket skein module of the connected sum of two solid tori as a case study)
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May 15, 2024, 10:30 a.m.
Mieszko Baszczak (UW)
Topology of Springer fibers (Topologia włókien Springera)
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March 13, 2024, 10:30 a.m.
Alessio di Prisa
Algebraic concordance and strongly invertible knots
In 1969 Levine defined a surjective homomorphism from the knot concordance group to the so-called algebraic concordance group, which is a Witt group of Seifert forms. Studying symmetric knots and in particular strongly invertible knots, …
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March 6, 2024, 10:30 a.m.
Andrzej Szczepański
Geometryczne brzegi rozmaitości hiperbolicznych
Zwarta n-wymiarowa rozmaitość M^n jest (topologicznym) brzegiem o ile istnieje zwarta (n+1)-rozmaitość W^{n+1} z brzegiem M^n. W roku 1982 Gary C.Hamrick i David C. Royster (artykuł w Inventiones) udowodnili, że każda płaska rozmaitość jest topologicznym …
