Hodge Theory, Moduli, and Representation Theory

Focused Research Group, June 1 2014 -- July 31 2017

1. M. Kerr, G. Pearlstein, Boundary components of Mumford-Tate domains, Duke Math. J. 165 (2016), no. 4, 661-721. (link)

2. G. da Silva Jr., M. Kerr, G. Pearlstein, Arithmetic of degenerating principal variations of Hodge structure: examples arising from mirror symmetry and middle convolution, Canad. J. Math. 68 (2016), 280-308. (link)

3. C. Robles, Classification of horizontal SL(2)'s, Compositio Math. 152 (2016), no. 5, 918-954. (link)

4. R. Keast, A generalization of Ribet's nondegeneracy theorem, preprint, 2014, to appear in IMRN. (link)

5. Z. Zhang, A realization for a Q-Hermitian variation of Hodge structure of Calabi-Yau type with real multiplication, Math. Res. Lett. 22 (2015), no. 3, 967-982. (link)

6. T. Hayama, G. Pearlstein, Asymptotics of degenerations of mixed Hodge structures, Adv. in Math. 273 (2015), 380-420. (link)

7. G. Pearlstein, C. Peters, Differential geometry of the mixed Hodge metric, preprint, 2014. (link)

8. M. Kerr, J. Lewis, P. Lopatto, appendix by J. Burgos Gil, Simplicial Abel-Jacobi maps and reciprocity laws, to appear in J. Alg. Geom. (link)

9. R. Keast, M. Kerr, Normal functions over locally symmetric varieties, preprint, 2015. (link)

10. G. Pearlstein, review of "Mumford-Tate groups and domains: their geometry and arithmetic" by Green, Griffiths and Kerr, Bull. Amer. Math. Soc. 52 (2015), 711-724. (link)

11. K. Kordek, The topology of the zero-locus of a genus 2 theta function, preprint, 2015. (link)

12. K. Kordek, The infinite topology of the hyperelliptic locus in Torelli space, preprint, 2015. (link)

13. P. Brosnan, T. Chow, Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties, preprint, 2016. (link)

14. S. Bloch, M. Kerr, P. Vanhove, Local mirror symmetry and the sunset Feynman integral, preprint, 2016. (link)

15. S. Casalaina-Martin, S. Grushevsky, K. Hulek, R. Laza, Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties, preprint, 2015, to appear in J. Eur. Math. Soc. (link)

16. K. Kordek, Finiteness properties of the Johnson subgroups, preprint, 2015. (link)

17. S. Casalaina-Martin, S. Grushevsky, K. Hulek, R. Laza, Complete moduli of cubic threefolds and their intermediate Jacobians, preprint, 2015. (link)

18. R. Laza, G. Sacca, C. Voisin, A hyper-Kahler compactification of the intermediate Jacobian fibration associated to a cubic fourfold, preprint, 2016. (link)

19. C. Robles, Degenerations of Hodge structure, preprint, 2016. (link)

20. P. Brosnan, G. Pearlstein, C. Robles, Nilpotent cones and their representation theory, preprint, 2016. (link)

21. M. Kerr, C. Robles, Classification of smooth horizontal Schubert varieties, preprint. 2016. (link)

22. M. Kerr, C. Robles, Variations of Hodge structure and orbits in flag varieties, preprint, 2016. (link)

23. G. da Silva Jr., On the arithmetic of Landau-Ginzburg model of a certain classs of threefolds, preprint, 2016. (link)

24. S. Mukhopadhyay, Strange duality of Verlinde spaces for G2 and F4, preprint, 2015, to appear in Math. Zeitschrift. (link)

25. R. Laza, K. O'Grady, Birational geometry of the moduli space of quartic K3 surfaces, preprint, 2016. (link)

26. S. Mukhopadhyay, R. Wentworth, Generalized theta functions, strange duality, and odd orthogonal bundles on curves, preprint, 2016. (link)

27. M. Kerr, Y. Yang, An explicit basis for the rational higher Chow groups of abelian number fields, preprint, 2016. (link)

28. P. Belkale, P. Brosnan, S. Mukhopadhyay, Hyperplane arrangements and tensor product invariants, preprint, 2016. (link)

29. P. Brosnan, Perverse obstructions to regular flat comapctifications, preprint, 2016. (link)

30. R. Laza, K. O'Grady, GIT versus Baily-Borel compactification for K3's which are quartic surfaces or double covers of quadrics, preprint, 2016. (link)

31. J. Kollar, R. Laza, G. Sacca, C. Voisin, Remarks on degenerations of hyper-Kahler manifolds, preprint, 2017. (link)

32. P. Brosnan, G. Pearlstein, Jumps in the Archimedean height, preprint, 2017. (link)

33. G. Pearlstein, Z. Zhang, A generic global Torelli theorem for certain Horikawa surfaces, preprint, 2017. (link)

34. P. del Angel, C. Doran, J. Iyer, M. Kerr, J. Lewis, S. Muller-Stach, D. Patel, Specialization of cycles and the K-theory elevator, preprint, 2017. (link)

35. M. Kerr, G. Pearlstein, C. Robles, Polarized relations on horizontal SL(2)'s, preprint, 2017. (link)

36. C. Robles, Characterization of Calabi-Yau variations of Hodge structure over tube domains by characteristic forms, preprint, 2017. (link)

37. M. Kerr, Motivic irrationality proofs, preprint, 2017. (link)