Title    name Lastest   |   Most hits   년도선택 최근 50건20102009200820072006200520042003200220012000     2010 ASARC WORKSHOP Fermat's last theorem and deformation theory of Galois representations Choi, Suhhyun (KAIST) 2010-02-06   I will introduce the idea of the proof of Fermat's last theorem of Wiles and Taylor, and try to explain how the deformation theory is used in the proof.   2010 ASARC WORKSHOP Homological Mirror Symmetry conjecture. Cho Cheolhyun (Seoul National University) 2010-02-06   We explain  ideas and conjectures of homological mirror symmetry and its basic ingredients (but not its proof).   2010 ASARC WORKSHOP Homotopy algebras and non-commutative geometry. Cho Cheolhyun (Seoul National University) 2010-02-06   We explain how homotopy algebras, such as A-infinity algebras arise in mathematica physics and explain the its relation to geometric concepts in non-commutative algebras.   2010 ASARC WORKSHOP Special families of linear subspaces and their applications in algebraic geometry Fyodor L. Zak (Independent University) 2010-02-05     2010 ASARC WORKSHOP Hilbert functions of almost reverse lexicographic ideals Park, Jungpil (NIMS) 2010-02-05   We introduce Moreno-Socias conjecture on generic initial ideals of ideals generated by generic forms, which is closely related with Fr"{o}berg conjecture. Then we study Hilbert functions of almost reverse lexicographic ideals. We give an equivalent condition for a given sequence of nonnegative integers to be the Hilbert function of an almost reverse lexicographic ideal.   2010 ASARC WORKSHOP Partial dg-categories and mixed over k[t]/(t^{m+1}) Park Jinhyun (KAIST) 2010-02-05   In this informal, and supposed to be a friendly talk, we generalize the formalism of Bondal and Kapranov that associates a (pre)-triangulated category to each dg-category to what we call "partial" dg-categories. A partial dg-category is almost a dg-category where compositions of morphisms are defined only on a class of quasi-isomorphic subcomplexes of the given dg-complexes, that we call "distinguished subcomplexes". This idea originates from M. Hanamura, in his construction of the triangulated category of mixed motives over a perfect base field k. We axiomatize this method, and extend Hanamura's category of motives to a category of motives over the truncated polynomial rings k[t]/(t^{m+1}). The essential new ingredient is a moving lemma for additive higher Chow groups that the speaker proved recently. Since this is supposed to be a colloquium style talk, I will give a sketch of definitions of various objects, and in particular no proofs will be given. The audience is expected to listen to the flow and the story only. I will try to be as elementary as possible, and I hope the audience can learn at least something from the talk.

Information Center for Mathematical Sciences KAIST 335 Gwahangno (373-1 Guseong-dong), Yuseong-gu, Daejeon 305-701, Republic of Korea TEL +82-42-869-8195~6, FAX +82-42-869-5722, e-mail : mathnet@mathnet.or.kr Copyright (c) 2009 by ICMS. All Rights Reserved