Eva Belmont (Case Western Reserve University): A deformation of Borel-complete equivariant homotopy theory
Wednesday, 29.05.2024 16:30 im Raum M4
Abstract: Synthetic homotopy theory is a general framework for constructing interesting contexts for doing homotopy theory: using the data of a spectral sequence in some category $\mathcal{C}$, one can construct another category which can be viewed as a deformation of $\mathcal{C}$. The motivating example is the fact, due to Gheorghe-Wang-Xu, that ($p$-complete, cellular) $\mathbb{C}$-motivic homotopy theory can be described as a deformation of the ordinary stable homotopy category, simply using the data of the Adams-Novikov spectral sequence. Burklund, Hahn, and Senger used this framework to study $\mathbb{R}$-motivic homotopy theory as a deformation of $C_2$-equivariant homotopy theory. In joint work with Gabe Angelini-Knoll, Mark Behrens, and Hana Jia Kong, we give (up to completion) a different synthetic description of this deformation, which generalizes to give a deformation of (Borel-complete) $G$-equivariant homotopy theory for other groups $G$.
Angelegt am Wednesday, 24.04.2024 07:50 von Claudia Rüdiger
Geändert am Wednesday, 24.04.2024 07:50 von Claudia Rüdiger
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Claudius Zibrowius (Ruhr-Universität Bochum): Khovanov homology and Conway mutatio
Wednesday, 12.06.2024 16:30 im Raum M4
Abstract: What has homological mirror symmetry ever done for you? I will give my personal answer to that question and discuss joint work in progress with Liam Watson and Artem Kotelskiy concerning the behaviour of Khovanov homology under Conway mutation.
Angelegt am Wednesday, 24.04.2024 07:17 von Claudia Rüdiger
Geändert am Wednesday, 24.04.2024 07:17 von Claudia Rüdiger
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