Algebraic Topology Bridge Summer Workshop

Summer 2021



Summer Workshop Information

This is a summer workshop in algebraic topology meant as a bridge from math 601 to math 618 and 619. It is geared toward beginning graduate students and undergraduates with some background in topology, but also to anyone with an interest in topology.

Goals for the talks

The goal of these projects is to choose topics that are not in the usual syllabus but that do not rely on too many prerequisites. This is a chance to have fun learning a topic that interests you in depth, and also that you get practice presenting. Participants are encouraged to work in pairs or groups and give joint presentations.

Topic suggestions

We are happy to discuss topics to choose from and help you find resources and prepare. We have a Slack workspace for this summer seminar. If you would like to join, either to give a talk, just listen, or just be on Slack to see what is going on, please contact one of the organizers Jonathan Block, Herman Gluck, or Mona Merling, so we can send you the zoom link and the invitation link to join the Slack workspace.

Meeting times

  • Tuesdays 3-4:30 EST over zoom


Schedule of talks

The presentation schedule so far is as follows. It will be updated as more people settle on topics and dates.

June 8 Ningchuan Zhang
Cobordism and the J homomorphism (slides)
(faculty overview talk)
June 15 Adam Zheleznyak Introduction to vector bundles I (slides)
June 22 Runze Wang Introduction to vector bundles II (slides) (video, Passcode: DlSph4?@)
June 29 Minhao Bai The Hopf invariant (slides)
July 6 Maxine Calle Topological K-theory (slides)
July 13 Miguel Lopez Solution to the Hopf invariant one problem (slides)
July 20 Elle Bower Vector fields on spheres
July 27, Aug 10 Miguel Lopez Geometry of topoi (slides)

Slides or notes for the talks will be linked above when they become available.