Organizers

Information

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

Home page

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

Research fields

Algebraic Topology

List of talks

April 29, 2014, 12:15 p.m.
Jan Spaliński (Politechnika Warszawska)
Seminarium z Topologii Algebraicznej
First, I will briefly recall the notion of a model category. Next, I will describe in detail Quillen's small object argument. The rest of the talk will be devoted to various applications of this method …
April 15, 2014, 12:15 p.m.
Andrzej Kozłowski (Uniwersytet Warszawski)
The topology of spaces of rational curves on certain toric variaties
(Joint with K. Yamaguchi)The space of holomorphic maps from $ S^2$ to a complex algebraic variety $X$ arises is several areas of geometry and physics. In a seminal paper Segal showed that in the the …
April 1, 2014, 12:15 p.m.
Chris Palmer (University of Edinburgh)
Chain Complex and Symmetric Structure Reconstruction
We discuss our recent work on a reconstruction result for the chain complex and symmetric structure of a manifold $M^n$ using a Morse 2-function $f: M^n \rightarrow \Sigma^2$ as an algebraic analogue of the geometric …
March 26, 2014, noon
Yoshihiro Fukumoto (Ritsumeikan University)
10/8-inequality and plumbed rational homology 3-spheres
10/8-inequality is an inequality relating the signature and the secondBetti number of closed spin 4-manifolds.This inequality was proved by M.Furuta by using a method of finitedimensional approximation of Seiberg-Witten monopole equation as anapproach toward the …
March 25, 2014, 12:15 p.m.
Piotr Kowalski (Uniwersytet Wrocławski)
Difference and generic cohomology
March 18, 2014, 12:15 p.m.
Maciej Borodzik (Uniwersytet Warszawski)
Morse theory for manifolds with boudnary
For a manifold with boundary we study Morse functions which restrict to Morse functions on the boundary. We show in detail that a critical point in the interior can be moved to the boundary and …
March 11, 2014, 12:15 p.m.
Magdalena Zielenkiewicz (Uniwersytet Warszawski)
The exceptional group G2 (cont.)
March 4, 2014, 12:15 p.m.
Magdalena Zielenkiewicz (Uniwersytet Warszawski)
The exceptional group G2
I will recall the most popular constructions of G2, and briefly sketch some "nonstandard" ways of describing it, trying to emphasize the connections between various approaches. Then I will decribe the G2-flag variety and the …
Feb. 25, 2014, 12:15 p.m.
Marcin Chałupnik (Uniwersytet Warszawski)
Homological algebra in the category of functors
Przedstawię mój program zmierzający do zrozumienia algebry homologicznej w kategorii funktorów wielomianowych nad ciałem dodatniej charakterystyki. Wprowadzę struktury kombinatoryczne pozwalające opisać grupy Ext, oraz omówię rolę jaką odgrywa zjawisko formalności pewnych dg-algebr w opisie struktury …
Jan. 21, 2014, 12:15 p.m.
Marta Drozdek (Uniwersytet Warszawski)
Przestrzenie podgrup grup topologicznych
Niech G będzie lokalnie zwartą grupą topologiczną. Rodzina wszystkich domkniętych podgrup grupy G wyposażona w naturalną topologię tworzy przestrzeń topologiczną, którą nazywamy przestrzenią Chabauty (od nazwiska francuskiego matematyka, który ją po raz pierwszy wprowadził). W …
Jan. 14, 2014, 12:15 p.m.
Anzor Beridze (Batumi State University)
On strong shape and homology theory of continuous maps
Jan. 7, 2014, 12:15 p.m.
Andrzej Szczepański (Uniwersytet Gdański)
wspólna praca z A.Gąsior i N.Petrosyanem
Dec. 17, 2013, 12:15 p.m.
Karol Szumiło (Uniwersytet Warszawski)
Cofibration categories and quasicategories
Classically, homotopy theories are described using homotopical algebra, e.g. as model categories or (co)fibration categories. Nowadays, they are often formalized as higher categories, e.g. as quasicategories or complete Segal spaces. These two types of approaches …
Dec. 10, 2013, 12:15 p.m.
Jan Spaliński (Politerchnika Warszawska)
A model of the Borel construction on the free loop space
I will start by briefly recalling the notion of a cyclic object in the category of spaces. Next, I will describe a model of the free loop space on the suspension of a connected CW-complex …
Dec. 6, 2013, 12:30 p.m.
Józef Przytycki (George Washington University)
Czy homologie dystrybutywne poprzez równanie Yanga-Baxtera prowadzą do homologii Khovanova splotów