Eunjeong Lee, Geometry of Flag Varieties and Related Combinatorics

B266 IBS

       Speaker Enjeong Lee IBS-CGP For a semisimple algebraic group G and a Borel subgroup B, the homogeneous space G/B, called the flag variety, is a smooth projective variety which has a fruitful connection with G-representations. Indeed, the set of global sections H^0(G/B, L) is an irreducible G-representation for a very ample line

Kyeong-Dong Park, Kähler-Einstein Metrics on Smooth Fano Symmetric Varieties with Picard Number One

B266 IBS

       Speaker Kyeong-Dong Park IBS-CGP Symmetric varieties are normal equivarient open embeddings of symmetric homogeneous spaces and they are interesting examples of spherical varieties. I will prove that all smooth Fano symmetric varieties with Picard number one admit Kähler-Einstein metrics using a combinatorial criterion for K-stability of Fano spherical varieties obtained by Delcroix.

Minseong Kwon, Integrability of G-structures II

B266 IBS

       Speaker Minseong Kwon KAIST This is a working seminar to introduce the notion of an integrable G-structure and its obstruction class. In the first talk, I discussed the definition of an integrable G-structure and introduced the existence theorem for the structure tensor. In this talk, I will construct the structure tensor of

Minseong Kwon, Integrability of G-structures III

B266 IBS

       Speaker Minseong Kwon KAIST This is a working seminar to introduce the notion of an integrable G-structure and its obstruction class. In the previous two talks, we discussed the definition of the k-th order structure tensor of a G-structure. In the third talk, we will discuss how the structure tensors can be

Sangbum Yoo, Spectral Data for Principal Higgs Bundles over a Singular Curve

B266 IBS

       Speaker Sangbum Yoo Gongju National University of Education Spectral data for Higgs bundles over a smooth curve has been studied by several mathematicians. The studies in this direction are originated by N.J.Hitchin. Specially, it has contributed to the studies on the fibers of the Hitchin map. In this talk, I will introduce

Seung-Jo Jung, Hodge Ideals and Spectra of Hypersurface Singularities

B266 IBS

       Speaker Seung-Jo Jung Jeonbuk National University Recently Mustata-Popa introduced a generalisation of multiplier ideals, which is called Hodge ideals. This talk introduces the Hodge ideals and explains the relations with other invariants, e.g. Bernstein-Sato polynomials, Hodge spectra, log canonical thresholds, minimal exponents etc. Mainly this talk concerns the relation between Hodge ideals

Hyungryul Baik, Limits of Canonical Metrics in Low-dimensions

B266 IBS

       Speaker Hyungryul Baik KAIST For a tower of finite normal covers of graphs or surfaces, one can consider a sequence of metrics on the base given by pull-back of canonical metric of the covers. We show that such a sequence has a limit and it depends only on the cover approximated by

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