Algebraic K-theory and Algebraic Cycles

Welcome to the homepage for Topics in Algebra: K-Theory and Algebraic Cycles (UPenn MATH 7020)

This course is designed to be an advanced graduate topics course in algebra and algebraic geometry, and will focus on interactions between K-theory and algebraic cycles.

Sources for Algebraic cycles:

• Intersection Theory (W. Fulton)
• Correspondences, Motifs and Monoidal Tranformations (Y. Manin)

Sources for K-theory:

• Introduction to Algebraic K-Theory (J. Milnor)
• Lectures on the K-Functor in Algebraic Geometry (Y. Manin)
• Algebraic K-Theory (V. Srinivas)
• The K-book: an introduction to algebraic K-theory (C. Weibel)