{"id":1979,"date":"2021-03-18T09:40:35","date_gmt":"2021-03-18T07:40:35","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=1979"},"modified":"2021-09-12T13:10:32","modified_gmt":"2021-09-12T10:10:32","slug":"online-seminar-u-haifa-topology-geometry-seminar-on-march-21-2021","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=1979","title":{"rendered":"Online seminar, U. Haifa Topology & Geometry seminar on March 21, 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: Agn\u00e8s Beaudry, University of Colorado Boulder<\/p>\n\n\n\n

Topic: The Picard group of higher real K-theories from an equivariant perspective<\/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, March 21, 2021<\/p>\n\n\n\n

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

Real K-theory, KO can be realized as the fixed point of K-theory by the action of a group of order 2 arising from complex conjugation. Interestingly, the Picard group of KO, that is, the collection of invertible KO-module spectra is a cyclic group of order 8, the periodicity of KO. Central objects of study in chromatic and equivariant homotopy theory are the “higher K-theories” or Lubin-Tate spectra. They come equipped with actions of finite groups, giving rise to periodic spectra commonly known as the “higher real K-theories”. An open problem is to understand the Picard groups of these higher real K-theories. When is it cyclic? What is its structure? Equivariant techniques give insight on this problem. I will present this perspective and some results about these Picard groups in this talk.<\/p>\n","protected":false},"excerpt":{"rendered":"

A recording of the talk is available here. Topology & Geometry Seminar Speaker: Agn\u00e8s Beaudry, University of Colorado Boulder Topic: The Picard group of higher real K-theories from an equivariant perspective Place: This is an online seminar. Please email David Blanc “blanc…
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