Previous talks this semester:
4.06.2024, Tuesday 10.15, room 403
Zdeněk Silber (IM PAN)
Title: Quantum filters. Continuation.
21.05.2024, Tuesday 10.15, room 403
Zdeněk Silber (IM PAN)
Title: Quantum filters.
Abstract:
"We will introduce the notion of quantum filters on a C*algebra and discuss their relation with faces of states.
Our main goal is to show that there is a natural bijection between the set of maximal quantum filters and the set of pure states."
14.05.2024, Tuesday 10.15, room 403
Kacper Kucharski (UW)
Title: Large compact separable spaces in the Cohen model. Continuation.
7.05.2024, Tuesday 10.15, room 403
Kacper Kucharski (UW)
Title: Large compact separable spaces in the Cohen model
Abstract:
In this series of two talks, we will provide a proof of the theorem
by Alan Dow stating that in the Cohen model,
any compact separable Hausdorff space of cardinality greater than continuum contains a copy of βN.
23.04.2024, Tuesday 10.15, room 403
Kamil Ryduchowski (UW/IMPAN)
Title: GNS representations and pure states  continuation
Abstract:
We will continue our investigation of GNS representations induced by pure states.
We will start by proving that a GNS representation induced by a pure state is irreducible,
which will finish the proof of the theorem discussed last week.
Then we will use our knowledge collected during this series of talks
to obtain some corollaries concerning pure states and a bit more general representations.
16.04.2024, Tuesday 10.15, room 403
Kamil Ryduchowski (UW/IMPAN)
Title: GNS representations and pure states
Abstract:
In the last meeting we discussed the GNS construction of a representation of a C*algebra,
where a given state of a C*algebra corresponds to a vector state of the representing operator algebra.
In this talk we will study the behaviour of that construction in the case when the given state is a pure state.
9.04.2024, Tuesday 10.15, room 403
Kamil Ryduchowski (UW/IMPAN)
Title: GNS construction.
Abstract:
We will present the classical GNS construction and will conclude the representation theorem for C*algebras
as operator algebras. The talk does not require any background beyond the presenations from the last fall.
26.03.2024, Tuesday 10.15, room 403
Damian Głodkowski (UW/IMPAN)
Title: A Boolean algebra with the Grothendieck property and without
the Nikodym property under CH. Continuation.
19.03.2024, Tuesday 10.15, room 403
Damian Głodkowski (UW/IMPAN)
Title: A Boolean algebra with the Grothendieck property and without
the Nikodym property under CH. Continuation.
12.03.2024, Tuesday 10.15, room 403
Damian Głodkowski (UW/IMPAN)
Title: A Boolean algebra with the Grothendieck property and without
the Nikodym property under CH. Continuation.
5.03.2024, Tuesday 10.15, room 403
Damian Głodkowski (UW/IMPAN)
Title: A Boolean algebra with the Grothendieck property and without
the Nikodym property under CH.
Abstract:
In 1984 Talagrand, assuming the continuum hypothesis, gave
an example of a Boolean algebra with the Grothendieck property and
without the Nikodym property. In a series of talks I will present a
construction of such a Boolean algebra that uses a modification of
Talagrand's method. The constructed algebra consists of Borel subsets
of the Cantor set satisfying certain symmetry property (we call such
sets balanced). The talks will be based on the paper "Epic math battle
of history: Grothendieck vs Nikodym" by D. GÅ‚odkowski and A. Widz,
arXiv:2401.13145
Talks in the first semester of 202324.
Talks in the second semester of 202223.
Talks in the first semester of 202223.
Talks in the second semester of 202122.
Talks in the first semester of 202122.
Talks in the second semester of 202021.
Talks in the first semester of 202021.
Talks in the second semester of 201920.
Talks in the first semester of 201920.
Talks in the second semester of 201819.
Talks in the first semester of 201819.
Talks in the second semester of 201718.
Talks in the first semester of 201718.
Talks in the second semester of 201617.
Talks in the first semester of 201617.
Talks in the second semester of 201516.
Talks in the first semester of 201516.
Talks in the second semester of 201415.
Talks in the first semester of 201415.
Talks in the second semester of 201314.
Talks in the first semester of 201314.
Talks in the second semester of 201213.
Talks in the first semester of 201213.
Talks in the second semester of 201112.
Talks in the first semester of 201112.
