Lothar Göttsche

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Lothar Göttsche (born January 21, 1961, in Sonderburg, Denmark) is a German mathematician, known for his work in algebraic geometry.

He is a research scientist at the International Centre for Theoretical Physics in Trieste, Italy. He is also editor for Geometry & Topology.

Biography

After studying mathematics at the

Göttsche was invited as speaker to the International Congress of Mathematicians in Beijing in 2002.^[1] In 2012 he became a fellow of the American Mathematical Society.^[2]

Work

Göttsche received international acclaim with his formula for the

If ${\displaystyle S}$ is a smooth surface over an algebraically closed field of characteristic ${\displaystyle 0}$, then the generating function for the motives of the Hilbert schemes of ${\displaystyle S}$ can be expressed in terms of the motivic zeta function by Göttsche's formula

${\displaystyle \sum _{n=0}^{\infty }[S^{[n]}]t^{n}=\prod _{m=1}^{\infty }Z(S,{\mathbb {L} }^{m-1}t^{m})}$

Here ${\displaystyle S^{[n]}}$ is the Hilbert scheme of length ${\displaystyle n}$ subschemes of ${\displaystyle S}$.

Göttsche is also the author of a celebrated conjecture predicting the number of

External links

• Home page of Lothar Göttsche

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