{"id":2542,"date":"2023-01-10T20:29:51","date_gmt":"2023-01-10T18:29:51","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2542"},"modified":"2023-01-27T16:21:43","modified_gmt":"2023-01-27T14:21:43","slug":"colloquium-tuesday-january-17-2023-speaker-yatir-halevi-haifa-title-definably-semisimple-groups-interpretable-in-p-adically-closed-fields","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2542","title":{"rendered":"Colloquium: Tuesday January 17, 2023. Speaker: Yatir Halevi (Haifa). Title: “Definably semisimple groups interpretable in p-adically closed fields”."},"content":{"rendered":"\n

<\/p>\n\n\n\n

Our next Math colloquium talk will be in person<\/strong> next week on the 17th of January, in room 614, Science & Education building.<\/p>\n\n\n\n

A zoom link for our meetings is:<\/p>\n\n\n\n

https:\/\/us02web.zoom.us\/j\/83337601824<\/a><\/p>\n\n\n\n

Speaker : Yatir Halevi (Haifa)<\/strong><\/p>\n\n\n\n

Date : Tuesday, 17th of January, 2023.<\/strong><\/p>\n\n\n\n

Time : 14:00<\/strong><\/p>\n\n\n\n

Title:<\/strong> Definably semisimple groups interpretable in p-adically closed fields.<\/p>\n\n\n\n

Abstract: <\/strong>Identifying and characterizing the groups and fields one can define in<\/p>\n\n\n\n

various first order structures has had multiple applications within
model theory and in other branches of mathematics. We focus here on
\"p\"-adically closed fields.<\/p>\n\n\n\n


Let \"\\mathbb{K}\"be a \"p\"-adically closed field (for example, \"\\mathbb{Q}_p\"). We will discuss some recent results regarding interpretable groups and interpretable fields in \"\\mathbb{K}\":

1) Let \"G\" be an interpretable group. If \"G\"is definably semisimple (i.e.
\"G\"has no definable infinite normal abelian subgroups) group, then
there exists a finite normal subgroup \"H\"such that \"G\/H\"is definably
isomorphic to a \"\\mathbb{K}\"-linear group.<\/p>\n\n\n\n


2) Let \"\\mathbb{F}\"be an interpretable field. Then \"\\mathbb{F}\" is definably isomorphic to a finite extension of \"\\mathbb{K}\".

No knowledge in model theory will be assumed, but some basic knowledge
in logic will help. (Joint work with Assaf Hasson and Ya’acov Peterzil)<\/p>\n\n\n\n

Kol tuv,<\/p>\n\n\n\n

Adam.<\/p>\n","protected":false},"excerpt":{"rendered":"

Our next Math colloquium talk will be in person next week on the 17th of January, in room 614, Science & Education building. A zoom link for our meetings is: https:\/\/us02web.zoom.us\/j\/83337601824 Speaker : Yatir Halevi (Haifa) Date : Tuesday, 17th of January, 2023. Time : 14:00 Title: Definably…
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