Interactions of gauge theory with contact and symplectic topology in dimensions 3 and 4

general topology

Banff International Research Station

Audience: Researchers in the topic
Seminar series times: No fixed schedule
Organizer: BIRS Programme Coordinator*
*contact for this listing

This workshop will highlight new results in low-dimensional topology coming from a wide range of geometric methods. Low-dimensional topology studies the global properties of geometric spaces in dimensions 3 and 4, such as 3-dimensional space and 4-dimensional space-time. Surprisingly, the study of spaces in dimensions 3 and 4 is more challenging than in higher dimensions: for instance, the famous Poincaré conjecture, which gives an intrinsic topological characterization of the sphere, was solved recently by Perelman in dimension 3, and has not yet been completely settled in dimension 4, while its higher dimensional generalizations were previously known. In fact, studying 3- and 4-dimensional spaces requires combining a variety of different approaches, many of which are geometric in nature and have their roots in theoretical physics. Much of the recent progress in this extremely active area of mathematics makes use of the interplay between sophisticated mathematical invariants (quantities that can be used to distinguish one space from another) coming from gauge theory and from contact and symplectic geometry, and clever new cut-and-paste constructions that modify known spaces in surprising ways. The workshop will feature new discoveries on the shape of space and knotted objects inside space, and will host leading experts from around the world.

Upcoming talks
Past talks
Your timeSpeakerTitle
FriJun 1216:00Artem KotelskiyThe earring correspondence on the pillowcase
FriJun 1215:00Juanita Pinzon-CaicedoInstanton and Heegaard Floer homologies of surgeries on torus knots
FriJun 1214:00Kristen HendricksRank inequalities for the Heegaard Floer homology of branched covers
ThuJun 1116:00Aliakbar DaemiLagrangians, SO(3)-instantons and the Atiyah-Floer Conjecture
ThuJun 1115:00Josh GreeneThe rectangular peg problem
ThuJun 1114:00Jonathan HanselmanKnot Floer homology as immersed curves
TueJun 0916:00Peter Lambert-ColeTBA
TueJun 0915:00Vera VertesiBordered contact invariants
MonJun 0816:00Robert LipshitzKhovanov homology detects split links
MonJun 0815:00Matthew HeddenRelative adjunction inequalities and their applications
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