#
University of Chicago Category Theory Seminar

## 2008-2009

We will have category theory talks Thursdays 3:00-4:20 in Eckhart 203 in the Proseminar. A rough schedule is
there.

## 2007-2008

There will occasionally be category theory talks in the Topology Proseminar
Eckhart 203 T Th 1:30-3:00. Check the calendar to see if there is a topology talk or category talk, or both.

To request a future speaker or for questions, please
contact Tom Fiore (fiore AT math.uchicago.edu).

To sign up for electronic announcements of talks, please visit
http://zaphod.uchicago.edu:8080/mailman/listinfo/category_theory_seminar.

## Spring 2007 Talks

## Fall 2006 Talks

## Fall 2006 Plan

This quarter we will have a series of talks on topos theory, model categories, quasicategories, and higher topos theory. These current topics lie at the intersection of algebraic geometry, algebraic topology, logic, and higher category theory, and should be of interest to a wider audience.
## References

### Topos Theory

Goldblatt, Robert I. Topoi. Studies in Logic and the Foundations of Mathematics, 98. North-Holland Publishing Co., Amsterdam-New York, 1979.

Johnstone, Peter T. Sketches of an elephant: a topos theory compendium. Vol. 1. Oxford Logic Guides, 43. The Clarendon Press, Oxford University Press, New York, 2002. xxii+468+71 pp.

Johnstone, Peter T. Sketches of an elephant: a topos theory compendium. Vol. 2. Oxford Logic Guides, 44. The Clarendon Press, Oxford University Press, Oxford, 2002. pp. i--xxii, 469--1089 and I1--I71.

Lurie, Jacob. Higher Topos Theory, pdf.

MacLane, S.; Moerdijk, I. Topos theory. Handbook of algebra, Vol. 1, 501--528, North-Holland, Amsterdam, 1996.

Mac Lane, Saunders; Moerdijk, I. Sheaves in geometry and logic. Universitext. Springer-Verlag, New York, 1994. xii+629 pp.

Rezk, Charles. Toposes and Homotopy Toposes,
dvi.

Weber, Mark. 2-Toposes, pdf.

Vickers, Steve. Locales and Toposes as Spaces,
pdf.
### Quasicategories

Bergner, Julie. A survey of (\infty, 1)-categories, pdf.

Bergner, Julie. Three models for the homotopy theory of homotopy theories, pdf.

Joyal, Andre; Tierney, Myles. Quasi-categories vs Segal spaces, pdf.

Joyal, Andre. The Theory of Quasi-Categories.

Nichols-Barrer, Joshua. Combinatorial Quasicatories, pdf.

## Past Talks

2005-2006.
## Other Seminars

UC Topology Seminar, UC Topology Proseminar.

For all of the UC Math Department seminars by date, go to the
Math Department Calendar.

For all of the UC Math Department seminars by subject, go to the UC Seminar List.