Covers the material from Math 2310 (multivariable calculus) plus topics from complex numbers, set theory and linear algebra. Prepares students for taking advanced mathematics classes at an early stage. Prerequisite: MATH 1320 or its equivalent.

Seminars

TBA - TBA

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Joshua

organizational meeting

Nick Kuhn (UVA) - Adams filtration and Hurewicz maps for infinite loopspaces

If X is an infinite loopspace, we relate the Adams filtration of its homotopy to the behavior of the Hurewicz map. As examples, we recover a famous result of Milnor about vector bundles over spheres, and prove an analogue for Topological Modular Forms.

I'll focus on explaining the theorem and examples. The proof needs as input new constructions in algebras over an operad, which is a joint project with Luis Pereira. (Maybe he will speak soon about this.)

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Joshua

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MATH 2315

Covers the material from Math 2310 (multivariable calculus) plus topics from complex numbers, set theory and linear algebra. Prepares students for taking advanced mathematics classes at an early stage. Prerequisite: MATH 1320 or its equivalent.