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Calabi–Yau Manifolds

2–6 Jun 2025
Castello dei Principi Capano
Europe/Rome timezone

Contribution List

15 out of 15 displayed
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  1. 1. Welcome
    02/06/2025, 10:00
  2. 2. Backreaction of Fluxes on Calabi-Yau Metrics
    Fabian Ruehle (Northeastern University)
    02/06/2025, 11:00

    We want to study warped IIB flux solutions using the setup of Giddings-Kachru-Polchinski. The solution leads to a warped metric with a warp factor that only depends on the internal coordinates. We want to study the functional form of the warp factor to investigate the singular bulk problem, which states that the warped region is not a small throat in the CY but almost the entire CY becomes...

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  3. 5. Mirror Symmetry of Abelian Fibered Calabi-Yau Manifolds
    Shinobu Hosono (Gakushuin University)
    02/06/2025, 14:00

    When constructing Calabi-Yau manifolds of dimension three, we often encounter elliptic or K3 fibered Calabi-Yau manifolds, and mirror symmetry of elliptic or K3 fibered Calabi-Yau manifolds is a well-studied subject from a variety of different interests. In contrast to this, except for those given by the fiber products of elliptic surfaces, Calabi-Yau threefolds fibred by abelian surfaces are...

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  4. 4. The 1, 2, 3, 4, ... of Applying the Period Geometry of CY n-folds to Feynman Integrals
    Albrecht Klemm (University of Sheffield)
    03/06/2025, 10:00

    We explain how geometric and arithmetic properties of Calabi-Yau period geometry serve to make physical predictions in perturbative quantum field theory and general relativity.

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  5. 8. Elliptic Fibration Structure of Toric Hypersurface Calabi-Yaus
    Washington Taylor (MIT)
    03/06/2025, 11:30

    This talk will describe the results of a comprehensive analysis of manifest elliptic fibers in toric hypersurface Calabi-Yau threefolds. Previous work with Huang showed that all but 29,223 of the 474 million reflexive 4D polytopes in the Kreuzer-Skarke database admit a toric elliptic fiber. In recent work with Abbasi and Nally we have classified all toric fiber + base combinations. This...

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  6. 6. Discussion
    03/06/2025, 14:30
  7. 13. Axion Potentials and Moduli Stabilization in Realistic Heterotic M-Theory
    Burt Ovrut (University of Pennsylvania)
    04/06/2025, 10:00

    A brief review of the observable sector of the B-L MSSM heterotic M-theory is presented. A specific hidden sector involving an anomalous
    holomorphic line bundle is analyzed and the associated Green-Schwartz mechanism, axions and D-term potential are discussed. The complex structure flux, gaugino condensation and string worldsheet superpotentials are analyzed and the associated F-term...

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  8. 7. Candidate de Sitter Vacua from Calabi-Yau Compactifications
    Liam McAllister (Cornell University)
    04/06/2025, 11:30
  9. 9. Contributed Talks
    04/06/2025, 14:30

    These are shorter (15 minutes) informal talks, either using slides or chalk.

    "Machine learning CY Metrics and Yukawa couplings", by Damian K. Mayorga Peña,

    "GV Invariants for Simple Flops", by Andres Collinucci

    "Anomaly and Supergravity", by Peng Cheng

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  10. 10. Intrinsic Mirror Symmetry
    Bernd Siebert (University of Texas, Austin)
    05/06/2025, 10:00

    Thanks to advances in logarithmic Gromov-Witten theory, we can now construct mirror partners canonically in the generality that birational geometry suggests. In the talk I will try to quickly introduce this intrinsic mirror construction and then comment on recent developments in proving both the original enumerative predictions and homological mirror symmetry in this setup.

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  11. 11. A Measure on the Supermoduli Space with Ramond Punctures
    Nadia Ott (University of Southern Denmark)
    05/06/2025, 11:30

    An essential ingredient in perturbative string theory is a certain measure on the moduli space ${\mathcal M}_g$ of curves. This measure is defined in terms of the Mumford isomorphism, which relates the canonical line bundle on ${\mathcal M}_g$ to the determinant of cohomology of the pushforward of the relative canonical line bundle on the universal curve. This pushforward, and thus also its...

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  12. 12. Discussion
    05/06/2025, 14:30
  13. 3. DT invariants of local CY 3-folds from Galois coverings of BPS quivers
    Cyril Closset (University of Birmingham)
    06/06/2025, 10:00

    After reviewing some basics of BPS state counting and of BPS quivers from a physics perspective, I will discuss new relationships between moduli spaces of quiver representations and between quiver DT invariants of distinct quivers which are related by so-called Galois covering functors. The new relationships are particularly interesting for quivers associated to canonical singularities that...

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  14. 14. Physics and Geometry of Line Bundles over Calabi-Yau Manifolds
    Andrei Constantin (University of Oxford)
    06/06/2025, 11:30

    The first part of the talk reviews some recent progress in identifying realistic models of particle physics in the context of heterotic strings on Calabi-Yau threefolds with line bundle sums, focusing on the question of deriving the flavour parameters of the Standard Model. The second part discusses the role played by line bundle cohomology in understanding the birational geometry of...

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  15. 15. Discussion
    06/06/2025, 14:30