09:00 AM  10:00 AM


Operads in algebraic topology
Kathryn Hess (École Polytechnique Fédérale de Lausanne (EPFL))

 Location
 SLMath: Eisenbud Auditorium
 Video

 Abstract
I will define operads and modules over operads, in the context of both chain complexes and topological spaces. I will then describe a number of important examples of these structures arising in algebraic topology and explain their significance and utility.
 Supplements

Hess
137 KB application/pdf


10:00 AM  10:30 AM


Tea

 Location
 SLMath: Atrium
 Video


 Abstract
 
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10:30 AM  10:50 AM


Braid groups in complex spaces and grassmannians
Simona Settepanella (Hokkaido University)

 Location
 SLMath: Eisenbud Auditorium
 Video

 Abstract
 
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11:00 AM  11:20 AM


Schematic homotopy types of operads
Marcy Robertson (University of Melbourne)

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 Abstract
 
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11:25 AM  11:45 AM


Realizability of Gmodules: on a dual of a Steenrod problem
Cristina Costoya (Universidade da Coruña)

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11:45 AM  01:15 PM


Lunch

 Location
 SLMath: Atrium
 Video


 Abstract
 
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01:15 PM  02:15 PM


Homotopy theory and arithmetic geometry
Kirsten Wickelgren (Duke University)

 Location
 SLMath: Eisenbud Auditorium
 Video

 Abstract
The solutions in \mathbb{C} to a system of polynomial equations form a nice topological space which is useful even for studying solutions to the polynomials over smaller fields such as R or even Q. To study solutions over Q or characteristic p fields, it is more useful to replace the notion of topological space with an object in a suitable category where one can do homotopy theory, such as the MorelVoevodsky category for A^1 homotopy theory, and prospaces, where one has the étale homotopy type of a scheme. We will define A^1 homotopy theory, étale topological type, and an étale realization between them of Isaksen. We will use this to discuss Grothendieck's anabelian conjectures and obstructions to solutions to polynomial equations
 Supplements


02:30 PM  03:30 PM


Homological stability for families of groups
Nathalie Wahl (University of Copenhagen)

 Location
 SLMath: Eisenbud Auditorium
 Video

 Abstract
Symmetric groups, braid groups, certain mapping class groups and general linear groups are examples of families of groups known to display a stability phenomenon in their homology. In my talks, I will give an answer to the following questions: What do these examples have in common? When should one expect that a family of groups satisfies homological stability? and how does one check that such a family does indeed stabilize
 Supplements

Wahl
103 KB application/pdf


03:30 PM  04:00 PM


Tea

 Location
 SLMath: Atrium
 Video


 Abstract
 
 Supplements



04:00 PM  05:30 PM


Participant Talks (10 minutes each)
Safia Chettih (University of Oregon), John Harper (Ohio State University), Mona Merling (University of Pennsylvania), Carmen Rovi (Loyola University), Jean Verrette (University of Hawaii at Manoa)

 Location
 SLMath: Eisenbud Auditorium
 Video

 Abstract
 
 Supplements

