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DTSTART:20210101T000000
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DTSTART;VALUE=DATE:20210503
DTEND;VALUE=DATE:20210508
DTSTAMP:20230603T073246
CREATED:20210325T114334Z
LAST-MODIFIED:20210325T151518Z
UID:5823-1620000000-1620431999@aarms.math.ca
SUMMARY:Groups acting on Trees: minicourse by Olga Kharlampovich
DESCRIPTION:From May 3\, 2021 to May 7\, 2021\, Professor O. Kharlampovich from City University of New York will teach a mini course on Groups acting on Trees. Due to the current situation caused by the corona virus disease\, the mini course will take place virtually. \nBass-Serre theory relates group actions on trees with decomposing groups as iterated applications of the operations of amalgamated product and HNN extension\, via the notion of the fundamental group of a graph of groups. \nOne of the generalizations of Bass-Serre theory is the theory of isometric group actions on real trees (R-trees) which are metric spaces generalizing the graph-theoretic notion of a tree. Group actions on R-trees arise naturally in geometric topology\, as well as in geometric group theory. Asymptotic cones of groups often have a tree-like structure and give rise to group actions on real trees. The use of R-trees and $\Lambda$ -trees\, in particular Zn-trees\, together with Bass-Serre theory\, are key tools in the work on the elementary theory of a free group by Kharlampovich-Miasnikov and Sela. \nThe course will be suitable for undergraduates\, graduate students\, postdocs\, faculty\, and anyone interested in algebra. The internet address for the virtual meeting room will be available at https://www.mun.ca/aac/AACMiniCourses/olga/ \nThe mini course will take place from 10 to 10:50 Eastern Standard Time.
URL:https://aarms.math.ca/event/groups-acting-on-trees-minicourse-by-olga-kharlampovich/
LOCATION:Online via Zoom
CATEGORIES:AARMS schools and minicourses
ORGANIZER;CN="Yuri%20Bahturin":MAILTO:bahturin@mun.ca
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