project . 2021 - 2026 . On going

TameHodge

Tame geometry and transcendence in Hodge theory
Open Access mandate for Publications European Commission
  • Funder: European CommissionProject code: 101020009 Call for proposal: ERC-2020-ADG
  • Funded under: H2020 | ERC | ERC-ADG Overall Budget: 1,815,640 EURFunder Contribution: 1,815,640 EUR
  • Status: On going
  • Start Date
    01 Oct 2021
    End Date
    30 Sep 2026
  • Detailed project information (CORDIS)
  • Open Access mandate
    Research Data: No
Description
Hodge theory, as developed by Deligne and Griffiths, is the main tool for analyzing the geometry and arithmetic of complex algebraic varieties, that is, solution sets of algebraic equations over the complex numbers. It occupies a central position in mathematics through its relations to differential geometry, algebraic geometry, differential equations and number theory. It is an essential fact that at heart, Hodge theory is NOT algebraic. On the other hand, some of the deepest conjectures in mathematics (the Hodge conjecture and the Grothendieck period conjecture) suggest that this transcendence is severely constrained. Recent work of myself and others suggests t...
Partners
Description
Hodge theory, as developed by Deligne and Griffiths, is the main tool for analyzing the geometry and arithmetic of complex algebraic varieties, that is, solution sets of algebraic equations over the complex numbers. It occupies a central position in mathematics through its relations to differential geometry, algebraic geometry, differential equations and number theory. It is an essential fact that at heart, Hodge theory is NOT algebraic. On the other hand, some of the deepest conjectures in mathematics (the Hodge conjecture and the Grothendieck period conjecture) suggest that this transcendence is severely constrained. Recent work of myself and others suggests t...
Partners
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