Toric Varieties and Complex Cobordism

Toric Varieties and Complex Cobordism

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Andrew Wilfong, Eastern Michigan University
Fine Hall 214

After a brief introduction to complex cobordism and toric varieties, we will discuss two problems in which the two are related. First, we will examine which cobordism classes can be represented by smooth projective toric varieties. A complete answer will be given for low-dimensional cobordism. After this, we will examine the role that smooth projective toric varieties play as polynomial ring generators of the complex cobordism ring.