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Faculty of Science

Mathematics & Statistics

Geometry and Topology Seminar - "Coverings, groupoids, and embedding braids in mapping class groups ", Tyrone Ghaswala

From December 07, 2017 13:30 until December 07, 2017 14:30

Tyrone Ghaswala
University of Waterloo

Title:    Coverings, groupoids, and embedding braids in mapping class groups.

Abstract:   Given a finite-sheeted branched cover between surfaces with boundary, it is natural to ask whether every mapping class of the covering surface projects to the base surface, and whether every mapping class of the base surface lifts to the covering surface.  In this talk we will address these questions, with automorphisms of fundamental groupoids playing an integral role.  As a consequence of the main result, we construct new embeddings of the braid group in the mapping class group of a surface.  This is joint work with Alan McLeay.

 

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1280 Main Street West
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L8S 4K1

Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
1:00 p.m. - 4:30 p.m.
Telephone Inquiries:
+1 (905) 525-9140 ext.27034
Undergrad Email Inquiries:
undergrad@math.mcmaster.ca

McMaster University - Faculty of Science

Mailing Address

Department of Mathematics & Statistics
McMaster University

Hamilton Hall, Room 218
1280 Main Street West
Hamilton, Ontario, Canada
L8S 4K1

Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
1:00 p.m. - 4:30 p.m.
Telephone Inquiries:
+1 (905) 525-9140 ext.27034
Undergrad Email Inquiries:
undergrad@math.mcmaster.ca