Uniqueness properties for spherical varieties

Ivan Losev[1]

  • [1] MIT, Department of Mathematics, 77 Massachusetts Avenue, Cambridge MA 02139, USA

Les cours du CIRM (2010)

  • Volume: 1, Issue: 1, page 113-120
  • ISSN: 2108-7164

Abstract

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The goal of these lectures is to explain speaker’s results on uniqueness properties of spherical varieties. By a uniqueness property we mean the following. Consider some special class of spherical varieties. Define some combinatorial invariants for spherical varieties from this class. The problem is to determine whether this set of invariants specifies a spherical variety in this class uniquely (up to an isomorphism). We are interested in three classes: smooth affine varieties, general affine varieties, and homogeneous spaces.

How to cite

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Losev, Ivan. "Uniqueness properties for spherical varieties." Les cours du CIRM 1.1 (2010): 113-120. <http://eudml.org/doc/116361>.

@article{Losev2010,
abstract = {The goal of these lectures is to explain speaker’s results on uniqueness properties of spherical varieties. By a uniqueness property we mean the following. Consider some special class of spherical varieties. Define some combinatorial invariants for spherical varieties from this class. The problem is to determine whether this set of invariants specifies a spherical variety in this class uniquely (up to an isomorphism). We are interested in three classes: smooth affine varieties, general affine varieties, and homogeneous spaces.},
affiliation = {MIT, Department of Mathematics, 77 Massachusetts Avenue, Cambridge MA 02139, USA},
author = {Losev, Ivan},
journal = {Les cours du CIRM},
keywords = {Reductive groups; spherical varieties; combinatorial invariants},
language = {eng},
number = {1},
pages = {113-120},
publisher = {CIRM},
title = {Uniqueness properties for spherical varieties},
url = {http://eudml.org/doc/116361},
volume = {1},
year = {2010},
}

TY - JOUR
AU - Losev, Ivan
TI - Uniqueness properties for spherical varieties
JO - Les cours du CIRM
PY - 2010
PB - CIRM
VL - 1
IS - 1
SP - 113
EP - 120
AB - The goal of these lectures is to explain speaker’s results on uniqueness properties of spherical varieties. By a uniqueness property we mean the following. Consider some special class of spherical varieties. Define some combinatorial invariants for spherical varieties from this class. The problem is to determine whether this set of invariants specifies a spherical variety in this class uniquely (up to an isomorphism). We are interested in three classes: smooth affine varieties, general affine varieties, and homogeneous spaces.
LA - eng
KW - Reductive groups; spherical varieties; combinatorial invariants
UR - http://eudml.org/doc/116361
ER -

References

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