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DTSTART;TZID=America/Los_Angeles:20260905T100000
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UID:4103-1788602400-1788609300@colleges.claremont.edu
SUMMARY:GEMS September 5th Session
DESCRIPTION:This GEMS session will be facilitated by Professor Qidi Peng from Claremont Graduate University.\n\n\nTitle: TBA\n\n\n\nAbstract:  TBA
URL:https://colleges.claremont.edu/ccms/event/gems-september-5th-session/
LOCATION:Shanahan 3481\, Harvey Mudd College\, 320 E. Foothill Blvd.\, Claremont\, CA\, 91711-3941\, United States
CATEGORIES:GEMS
ORGANIZER;CN="Teal Witter":MAILTO:raylen.witter@claremontmckenna.edu
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DTSTART;TZID=America/Los_Angeles:20260908T121500
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UID:4081-1788869700-1788873000@colleges.claremont.edu
SUMMARY:Field extensions built from dynamical systems\, ramification\, and Julia sets (Michelle Manes\, American Institute of Mathematics)
DESCRIPTION:Given a polynomial defined over a field $K$\, you can build an extension of $K_\infty / K$ by adjoining inverse images of some point $\alpha \in K$. The behavior of these extensions (including the degree [K_\infty : K]\, ramification\, and associated Galois representations) are surprisingly different in the cases that $K$ is a number field versus a local field. In this talk\, I’ll describe the development of these ideas over the past almost 20 years\, culminating in some ongoing work that pushes our understanding of the local field case even further and connects these ideas to the (Berkovich) Julia set for the polynomials.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-michelle-manes-american-institute-of-mathematics/
LOCATION:TBA
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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