**Special Seminar**

Come join usĀ **Friday February 2, 2018 at 12 pm in RM 507, Professor Francesco Lin (Princeton University) will be giving a special lecture about “Homology Cobordism and Pin(2)-monopole Floer Homology”.**

**Abstract**

It is a classical fact that every closed oriented three-manifold Y arises as the boundary of a compact four-manifold W. It is then a natural question to ask how simple such a W can be, once Y is fixed. In the present talk, I will describe a package of gauge-theoretic in variants called Pin(2)-monopole Floer homology, and discuss its relevance to this problem. I will focus in particular on how it can be used to provide an alternative disproof of the long-standing Triangulation Conjecture (recently settles by Manolescu), and its further applications to several related questions.

**Mathematics Hall, Room 507**

**Friday February 2, 2018 at 12 pm**