Organizers

dr hab. Andrzej Weber, prof. ucz.
dr Krzysztof Ziemiański

Information

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

Home page

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

Research fields

Algebraic and Geometric Topology

List of talks

March 21, 2017, 2:30 p.m.
Józef Przytycki: (George Washington University)
Almost extreme Khovanov homology
March 14, 2017, 2:30 p.m.
Krzysztof Ziemiański (UW)
An introduction to Khovanov homology
I will present a definition of Khovanov homology, state some of its properties and give examples of calculations. I will also describe constructions of spaces whose homology or homotopy groups are isomorphic to Khovanov homology …
Jan. 17, 2017, 2:30 p.m.
Andrzej Szczepański (UG)
Diffuse groups (Grupy rozproszone)
Grupy rozproszone zostaly zdefiniowane przez B. Bowditcha w roku 1999. Grupa G jest rozproszona o ile kazdy jej niepusty, skonczony podzbior A zawiera punkt ekstremalny, tzn. element a\in A taki ze dla wszystkich g\in G\{1} …
Jan. 10, 2017, 2:30 p.m.
Joachim Jelisiejew (UW)
Tropical and Berkovich spaces
Tropical varieties are piecewise linear shadows of algebraic varieties with fixed embedding. They enjoy a fruitful interaction between geometry and piecewise linear combinatorics. On one side, we can recover geometric information, such as Hodge …
Dec. 13, 2016, 1:30 p.m.
Paweł Traczyk (UW)
Co wiemy i czego nie wiemy o reprezentacji Burau
Dec. 6, 2016, 1:30 p.m.
Jan Spaliński (PW)
What is topological data analysis?
The talk will be an introduction to topological data analysis - a field of research on the boarder of algebraic topology, statistics and computer science. The field was created to a large extent by H. …
Nov. 29, 2016, 2:30 p.m.
Abdó Roig-Maranges (UW)
Algebraic cycles, Lawson homology and duality
In the beginning of the 90s, Lawson and friedlander introduced a new way of looking at algebraic cycles on a complex algebraic variety via the homotopy type of its moduli space, instead of using the …
Nov. 22, 2016, 2:30 p.m.
Agnieszkza Bojanowska (UW)
Filtracje przestrzeni klasyfikującej grupy topologicznej. Nilpotentna K- teoria
Nov. 15, 2016, 2:30 p.m.
Piotr Kowalski (UWr)
Difference cohomology
Nov. 15, 2016, 2:30 p.m.
Piotr Kowalski (UWr)
Difference cohomology
Nov. 8, 2016, 2:30 p.m.
Wojciech Politarczyk (UW)
Khovanov homology of tangles
Abstrakt: Khovanov homology is a certain invariant of links thatcategorifies the Jones polynomial, i.e. the Jones polynomial can be recovered from Khovanov homology as a graded Euler characteristic. Jones polynomial can be extended to an …
Oct. 25, 2016, 2:30 p.m.
Jose Gabriel Carrasquel Vera (Louvain)
Rational homotopy theory for Schwarz's sectional category
We will give an introduction on rational homotopy theory and discuss how these techniques can be applied to give algebraic lower bounds for Schwarz's sectional category and, in particular, for Farber's topological complexity. We will …
Oct. 18, 2016, 2:30 p.m.
Andrzej Weber (MIMUW)
Topologiczny dowód istnienia wielu baz Auerbacha
Abstract: Niech V będzie przestrzenią Banacha skończonego wymiaru. Mówimy, że a_1, a_2,...,a_n \in V jest bazą Auerbacha, gdy |a_i|=|a^*_i|= 1 dla każdego i= 1, 2,...,n. Istnienie takiej bazy dla dowolnej przestrzeni Banacha skończonego wymiaru zostało …
Oct. 11, 2016, 2:30 p.m.
Marek Kaluba (IM PAN)
The computational aspects of property (T)
Abstract: Kazhdan's Property (T) is a well known concept in the theory of group actions. Its numerous applications include finite generation of lattices, Fixed-point properties of isometric actions, constructions of expanding graphs and product replacement …
July 5, 2016, 2:30 p.m.
Józef Przytycki (George Washington University & UG)
Does Khovanov homology lead to wedges of spheres?