Problem Solving Session -- Evaluation

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Operads through Examples.

Speaker: 

Jeremy Pecharich

Institution: 

Pomona College

Time: 

Tuesday, June 3, 2014 - 1:00pm to 2:00pm

Host: 

Location: 

RH 340N

We will introduce the notion of an operad, which generalize the properties coming from associative algebras or Lie algebras. While the definition of an operad to somewhat complex everything will be done through example so we can get familiar with operads and their vast array of applications. If time permits we will give some applications to deformation theory of associative algebras.

The isomorphism problem for \kappa-dense sets of reals

Speaker: 

Garrett Ervin

Institution: 

UCI

Time: 

Monday, May 19, 2014 - 4:00pm to 5:30pm

Host: 

Location: 

RH 440R

We discuss the history of Baumgartner's result that all \aleph_1-dense sets of reals can be order-isomorphic, as well as related results of Shelah and Abraham. We'll outline a proof, due to Todorcevic, that is simpler than Baumgartner's original argument. Finally, we present some recent results of Justin Moore concerning the problem of making all \aleph_2-dense sets of reals isomorphic.
 

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