CMSA Mathematical Physics Seminar: On the quantum K-theory of the quintic


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March 29, 2021 10:00 am - 11:00 am
via Zoom Video Conferencing

Emanuel Scheidegger - BICMR

Quantum cohomology is a deformation of the cohomology of a projective variety governed by counts of stable maps from a curve into this variety. Quantum K-theory is in a similar way a deformation of K-theory but also of quantum cohomology, It has recently attracted attention in physics since a realization in a physical theory has been found. Currently, both the structure and examples in quantum K-theory are far less understood than in quantum cohomology.
We will explain the properties of quantum K-theory in comparison with quantum cohomology, and we will discuss the examples of projective space and the quintic hypersurface in P^4.