{"id":1986,"date":"2021-03-31T11:25:36","date_gmt":"2021-03-31T08:25:36","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=1986"},"modified":"2021-09-12T13:10:19","modified_gmt":"2021-09-12T10:10:19","slug":"online-seminar-u-haifa-topology-geometry-seminar-on-april-4-2021","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=1986","title":{"rendered":"Online seminar, U. Haifa Topology & Geometry seminar on April 4, 2021"},"content":{"rendered":"\n

A recording of the talk is available here<\/a>.<\/p>\n\n\n\n

Topology & Geometry Seminar<\/u><\/strong><\/p>\n\n\n\n

Speaker: Shachar Carmeli, Weizmann Institute of Science<\/p>\n\n\n\n

Topic: Higher semiadditivity and the K(1)-local sphere<\/p>\n\n\n\n

Place: This is an online seminar. Please email David Blanc “blanc at math dot haifa dot ac dot il” for the Zoom ID and password.<\/p>\n\n\n\n

Time: 16:00<\/p>\n\n\n\n

Date: Sunday, April 4, 2021<\/p>\n\n\n\n

                                                   Abstract<\/u><\/strong>:<\/u><\/strong><\/p>\n\n\n\n

Higher semiadditivity is a property of an infinity-category that allows, in particular, for the summation of families of morphisms between objects parametrized by pi-finite spaces.<\/p>\n\n\n\n

Hopkins and Lurie showed that the K(n)-localizations of the infinity category of spectra are higher semiadditive. Consequently, by a work of Harpaz, the mapping objects in these infinity-categories admit the rich structure of higher commutative monoids.<\/p>\n\n\n\n

While many abstract properties of these higher commutative monoids are known, explicit computations in them have not been carried out so far.<\/p>\n\n\n\n

In my talk, I will present a work in progress, joint with Allen Yuan, which gives such a computation in the K(1)-local category. Specifically, I will show how to use higher semiadditive versions of algebraic K-theory and Grothendieck-Witt theory to compute these integration maps for the K(1)-local sphere.<\/p>\n","protected":false},"excerpt":{"rendered":"

A recording of the talk is available here. Topology & Geometry Seminar Speaker: Shachar Carmeli, Weizmann Institute of Science Topic: Higher semiadditivity and the K(1)-local sphere Place: This is an online seminar. Please email David Blanc “blanc at math dot haifa dot…
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