Department of

# Mathematics

Seminar Calendar
for events the day of Thursday, March 17, 2016.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    February 2016            March 2016             April 2016
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2  3  4  5  6          1  2  3  4  5                   1  2
7  8  9 10 11 12 13    6  7  8  9 10 11 12    3  4  5  6  7  8  9
14 15 16 17 18 19 20   13 14 15 16 17 18 19   10 11 12 13 14 15 16
21 22 23 24 25 26 27   20 21 22 23 24 25 26   17 18 19 20 21 22 23
28 29                  27 28 29 30 31         24 25 26 27 28 29 30



Thursday, March 17, 2016

12:00 pm in 243 Altgeld Hall,Thursday, March 17, 2016

#### Heegaard Floer homology and 3-manifold mutation

###### Corrin Clarkson (Indiana University)

Abstract: The mutation operation is easy to define: cut a 3-manifold along an embedded surfaces and gluing it back together. It is also familiar; special cases include Dehn surgery and the construction of mapping tori. In many cases, the effects of mutation are significant and easily detected, but some gluings are more subtle. One such subtle gluing map is the genus-2 hyperelliptic involution. This is the only higher genus mapping class whose mutations might preserve the total rank of Heegaard Floer homology. I will show that all other gluings can change the total rank of HF-hat and give and overview of our understanding of the exceptional case: mutating by the genus two hyper elliptic involution.

5:00 pm in 245 Altgeld Hall,Thursday, March 17, 2016