## EVENT DETAILS AND ABSTRACT

**Midwest Algebraic Geometry Conference**
**Title:** Real manifolds with good complexifications

**Speaker:** Burt Totaro

**Speaker Info:** University of Chicago

**Brief Description:**

**Special Note**:

**Abstract:**

We try to find which closed manifolds occur as the
space of real points U(R) of an affine algebraic variety such that U(R) is
homotopy equivalent to U(C). The motivation is that this does happen in a
few beautiful cases; for example, the sphere S^n is homotopy equivalent to
the complex affine variety {x_0^2+ ... + x_n^2 = 1}. There
is a surprisingly precise conjecture about which manifolds have such a
complexification, which we can support with some examples and theorems.

**Date:** Saturday, October 31, 1998

**Time:** 10:30am

**Where:** Swift

**Contact Person:** Ezra Getzler

**Contact email:** getzler@math.nwu.edu

**Contact Phone:** (847) 467-1695

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