Friday, December 10, 2021
Time | Items |
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All day |
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2pm |
12/10/2021 - 2:00pm Abstract: Mean curvature flow can be continued through singularities using a weak solution to the flow. Two major weak solutions are Brakke flow and level set flow. Brakke flow is defined with an inequality which makes it tantamount to a subsolution to mean curvature flow, whereas level set flow may attain positive measure and is properly thought of as a supersolution. In this talk, we will discuss these weak solutions, and we will relate uniqueness problems to multiplicity problems for mean curvature flow. In particular, we will discuss how Brakke flows with only generic singularities achieve equality in their defining inequality. This uses an analysis of worldlines in Brakke flows, analogous to the theory of singular Ricci flows. This talk will be aimed at those without background in mean curvature flow. Location: |
3pm |
12/10/2021 - 3:15pm The ”Mathematics for Humans” reading group will have its first meeting of the semester on Friday, December 10th at 3:15pm. Sponsored by the departmental climate committee, the goal of this group is to promote discussion in the department about what it means to do mathematics and be a mathematician. Note that this is our second meeting . All are invited! From undergraduate students through senior faculty, we hope that diverse members of the department are represented. Unlike most reading groups, no homework or reading is required outside of the meetings. Each meeting will feature a short piece, and we will begin with a silent period to read it, followed by discussion in small groups. Hope to see you there. -Ian and Jamie (on behalf of the climate committee) Location: |