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summer 2018
 
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Wojciech J. Gajda

professor of mathematics

Mailing address:
Faculty of Mathematics and Computer Science
Adam Mickiewicz University
Umultowska 87, 61-614 PoznaƄ, POLAND
Office: Collegium Mathematicum, B1-35
Phone: +48 (61) 829 5503
Fax: +48 (61) 829 5315
Email: gajda AT amu DOT edu DOT pl

Research interests:

arithmetic geometry, number theory, algebraic topology, algebraic K-theory

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Dominik Burek, Jagiellonian University

17.04.2024 12:00, B1-37

Title: Higher dimensional Calabi-Yau manifolds of Kummer type

We construct Calabi-Yau manifolds of arbitrary dimensions as a resolution of a quotient of a product of a K3 surface and (n-2) elliptic curves with a strictly non-symplectic automorpism of order 2, 3, 4 or 6. This construction generalizes a result of Cynk and Hulek and the classical construction of Borcea and Voisin, the proof is based on toric resolution of singularities. Using Chen-Ruan orbifold cohomology we compute the Hodge numbers of all constructed examples and give a method to compute the local Zeta functions.

Last modified: 16.11.2022