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Universität Augsburg
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Universität Augsburg
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Guilherme Feitosa de Almeida
spricht am
Donnerstag, 23. Mai 2024
um
12:30 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| Using the inverse period map of the Gauss-Manin connection associated with Big Quantum Cohomology of CP2 and the Dubrovin construction of Landau-Ginzburg superpotential for Dubrovin Frobenius manifolds, we construct a one-dimensional Landau-Ginzburg superpotential for the quantum cohomology of CP2. In the case of small quantum cohomology, the Landau-Ginzburg superpotential is expressed in terms of the cubic root of the j-invariant function. For big quantum cohomology, the one-dimensional Landau-Ginzburg superpotential is given by Taylor series expansions whose coefficients are expressed in terms of quasi-modular forms. Furthermore, we express the Landau-Ginzburg superpotential for both small and big quantum cohomology of CP2 in closed form as the composition of the Weierstrass p-function and the universal coverings of C minus a suitable lattice. This seminar is based on the results of arxiv.org/abs/2402.09574. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Maxim Smirnov |