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Igor Dolgachev
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#	Item
1	LECTURES ON MODULI AND MIRROR SYMMETRY OF K3 SURFACES IGOR V. DOLGACHEV Abstract. This is a brief introduction to the theory of moduli and mirror families of K3 surfaces based on lectures given at the Summer Workshop on Add to Reading List Source URL: grk1670.math.uni-hamburg.de Language: English - Date: 2013-09-12 08:55:14
2	Hyperbolic Geometry and Algebraic geometry, Seoul-Austin, Igor Dolgachev March 29, 2015 ii Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2015-04-21 20:39:58 Algebraic geometry Hodge theory Homological algebra Conjectures Quadratic forms Hodge structure Projective space Atiyah–Singer index theorem Betti number Abstract algebra Mathematics Geometry
3	Endomorphisms of complex abelian varieties, Milan, February 2014 Igor Dolgachev January 1, 2015 ii Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2015-01-01 16:46:37 Matrices Abstract algebra Symplectic geometry Symplectic vector space Operator theory Unitary group Skew-symmetric matrix Modular form Eigenvalues and eigenvectors Algebra Mathematics Linear algebra
4	Derived categories. Winter[removed]Igor V. Dolgachev May 5, 2009 ii Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2009-05-05 15:12:00 Functors Additive categories Homological algebra Initial and terminal objects Functor category Functor Yoneda lemma Natural transformation Abelian category Category theory Abstract algebra Mathematics
5	Lectures on Modular Forms. Fall[removed]Igor V. Dolgachev August 5, 2013 ii Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2013-08-05 12:42:54 Quadratic forms Linear algebra Riemann surfaces Modular forms Real algebraic geometry Möbius transformation Vector space Theta function Binary quadratic form Algebra Mathematics Mathematical analysis
6	Introduction to Algebraic Geometry Igor V. Dolgachev August 19, 2013 ii Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2013-08-19 22:31:57 Algebraic geometry Commutative algebra Scheme theory Divisor Field extension Polynomial ring Representation theory Tangent space Dimension of an algebraic variety Abstract algebra Algebra Algebraic varieties
7	McKay correspondence. Winter[removed]Igor V. Dolgachev October 26, 2009 ii Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2009-10-26 10:25:53 Quotient group Index of a subgroup Cyclic group Conjugacy class Normal subgroup Subgroup Center Group isomorphism Group action Abstract algebra Algebra Group theory
8	LECTURES ON MODULI AND MIRROR SYMMETRY OF K3 SURFACES IGOR V. DOLGACHEV Abstract. This is a brief introduction to the theory of moduli and mirror families of K3 surfaces based on lectures given at the Summer Workshop on Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2013-09-10 13:17:07 Differential geometry Riemann surfaces Analytic number theory Kleinian groups Algebraic surfaces Modular curve Möbius transformation Elliptic curve Differential geometry of surfaces Geometry Abstract algebra Mathematical analysis
9	Lectures on Cremona transformations, Ann Arbor-Rome, [removed]Igor Dolgachev 11th April 2011 ii Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2011-04-11 14:25:37 Divisor Ample line bundle Sheaf Linear system of divisors Rational mapping Linear map Embedding Normal distribution Rational function Abstract algebra Algebra Algebraic geometry
10	A BRIEF INTRODUCTION TO PHYSICS FOR MATHEMATICIANS Notes of lectures given at the University of Michigan in[removed]by Igor Dolgachev Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2014-01-03 16:07:44 Calculus of variations Dynamical systems Ordinary differential equations Partial differential equations Differential calculus Lagrangian Euler–Lagrange equation Derivative Hamiltonian Mathematical analysis Mathematics Physics

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