Math @ Duke

Publications [#326604] of Colleen M Robles
Papers Published
 Kerr, M; Robles, C, Variations of Hodge structure and orbits in flag varieties,
Advances in Mathematics, vol. 315
(July, 2017),
pp. 2787 [doi]
(last updated on 2018/03/18)
Abstract: © 2017 Elsevier Inc.Period domains, the classifying spaces for (pure, polarized) Hodge structures, and more generally Mumford–Tate domains, arise as open GRorbits in flag varieties G/P. We investigate Hodgetheoretic aspects of the geometry and representation theory associated with these flag varieties. In particular, we relate the Griffiths–Yukawa coupling to the variety of lines on G/P (under a minimal homogeneous embedding), construct a large class of polarized GRorbits in G/P, and compute the associated Hodgetheoretic boundary components. An emphasis is placed throughout on adjoint flag varieties and the corresponding families of Hodge structures of levels two and four.


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