Department of

# Mathematics

Seminar Calendar
for events the day of Monday, September 22, 2014.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
     August 2014           September 2014          October 2014
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2       1  2  3  4  5  6             1  2  3  4
3  4  5  6  7  8  9    7  8  9 10 11 12 13    5  6  7  8  9 10 11
10 11 12 13 14 15 16   14 15 16 17 18 19 20   12 13 14 15 16 17 18
17 18 19 20 21 22 23   21 22 23 24 25 26 27   19 20 21 22 23 24 25
24 25 26 27 28 29 30   28 29 30               26 27 28 29 30 31
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Monday, September 22, 2014

3:00 pm in 341 Altgeld Hall,Monday, September 22, 2014

#### Parallel Transport and Principal Bundles for Geometric Stacks

###### Seth Wolbert (UIUC Math)

Abstract: It has been known for about 60 years that parallel transport for principal $G$-bundles with equivariant connections is characterized by holonomy homomorphisms and that these maps can be used to reconstruct not only the associated connection, but also the relevant bundle. This relationship has been most recently restated as an equivalence of categories between bundles with connections over a fixed manifold and a category of objects known as transport functors. I will describe recent work, done with Eugene Lerman and Brian Collier, to prove this equivalence is natural; furthermore, I will describe how this naturality allows us to extend the above characterization of parallel transport to bundles over Lie groupoids and, more generally, geometric stacks.

5:15 pm in 141 Altgeld Hall,Monday, September 22, 2014

#### AGM and Haagerup tensor product

###### Marius Junge (UIUC)

Abstract: We continue the last talk and prove a better bound.