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Department of Mathematics

Geometry and Topology Seminars

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See below for upcoming seminars or access the seminar archive.

Organizers

Bill Bogley, Christine Escher and Ren Guo

Contact

escher@math.oregonstate.edu

Meeting time

M 1200-1250

The Moduli Space of Graphical Associative Submanifolds

Kidd 280

Speaker: Emily Windes

In this talk, I discuss an infinite-dimensional Lagrange-multipliers problem that first appeared in Donaldson and Segal’s paper “Gauge Theory in Higher Dimensions II”. The longterm goal is to apply Floer theory to a functional whose critical points are generalizations of three (real) dimensional, special Lagrangian submanifolds. I will discuss a transversality theorem related to the moduli space of solutions to the Lagrange multiplers problem. Read more.

Reducible Surgeries on Slice and Almost L-Space Knots

Kidd 280

Speaker: Holt Bodish

A celebrated theorem of low dimensional topology states that any 3-manifold can be obtained from S^3 by Dehn surgery on a link. However, it is still an open question which 3-manifolds arise as Dehn surgery on a knot (a link with one component). We use tools from Heegaard Floer homology to investigate a special case of this question: when does Dehn surgery on a knot produce a reducible 3-manifold (a non-trivial connected sum of two 3-manifolds). We show that slice knots only admit reducible surgeries of a particular kind and that only certain slopes on almost L-space knots can produce reducible 3-manifolds. This is joint work with Robert DeYeso III. Read more.