BEGIN:VCALENDAR VERSION:2.0 PRODID:-//jEvents 2.0 for Joomla//EN CALSCALE:GREGORIAN METHOD:PUBLISH BEGIN:VTIMEZONE TZID:America/New_York BEGIN:STANDARD DTSTART:20240219T140000 RDATE:20240310T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20241103T010000 RDATE:20250309T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20251102T010000 RDATE:20260308T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20261101T010000 RDATE:20270314T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20271107T010000 RDATE:20280312T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20281105T010000 RDATE:20290311T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:DAYLIGHT DTSTART:20240310T030000 RDATE:20241103T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20250309T030000 RDATE:20251102T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20260308T030000 RDATE:20261101T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20270314T030000 RDATE:20271107T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20280312T030000 RDATE:20281105T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT END:VTIMEZONE BEGIN:VEVENT UID:4232b85637c8e64cab652a749102fc1c CATEGORIES:Algebra Seminar CREATED:20250219T115616 SUMMARY:A local-global principle in group representation theory DESCRIPTION:A local-global principle in group representation theory\n (Damiano Rossi, F eb. 12, 2025)\n In its broader definition, representation theory is the att empt to linearize algebraic structures by studying their actions on vector spaces. The general hope is to recover information about the algebraic stru cture by answering a (typically) easier question. In the case of (finite) g roup representation theory, one could tackle this problem one prime at a ti me. On one hand, we can describe the structure of a group by looking at its p-local structure (given by the set of p-subgroups and their embedding) fo r each prime p. On the other hand, we can describe the representations of s uch a group by analyzing their properties at each prime p. The local-global principle in group representation theory asserts that, for each fixed prim e p, the p-local structure of a group is directly and intimately linked to the representation theory of the group looked at through the prime p. I wil l present several fundamental conjectures in the area and explain how these can all be recovered from a unifying statement known as Dade's Conjecture. I will then describe a research program I designed to prove Dade's Conject ure and explain its connections to algebraic topology, homotopy theory, and algebraic geometry.\n X-ALT-DESC;FMTTYPE=text/html:

A local-global principle in group representation theory

(Damiano Rossi, Feb. 12, 2025)
In its broader definition, representation theory is the attempt to linearize algebraic str uctures by studying their actions on vector spaces. The general hope is to recover information about the algebraic structure by answering a (typically ) easier question. In the case of (finite) group representation theory, one could tackle this problem one prime at a time. On one hand, we can describ e the structure of a group by looking at its p-local structure (given by th e set of p-subgroups and their embedding) for each prime p. On the other ha nd, we can describe the representations of such a group by analyzing their properties at each prime p. The local-global principle in group representat ion theory asserts that, for each fixed prime p, the p-local structure of a group is directly and intimately linked to the representation theory of th e group looked at through the prime p. I will present several fundamental c onjectures in the area and explain how these can all be recovered from a un ifying statement known as Dade's Conjecture. I will then describe a researc h program I designed to prove Dade's Conjecture and explain its connections to algebraic topology, homotopy theory, and algebraic geometry.

DTSTAMP:20260930T223524 DTSTART;TZID=America/New_York:20250219T140000 DTEND;TZID=America/New_York:20250219T150000 SEQUENCE:0 TRANSP:OPAQUE END:VEVENT END:VCALENDAR