Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Phone: +7 (499) 941 01 81
Fax: +7 (499) 984 81 39
E-mail:
Website: https://scholar.google.com/citations?user=nGaJWOYAAAAJ
Keywords: derived categories, triangulated categories, (quasi)coherent sheaves, noncommutative and derived algebraic geometry, mirror symmetry.
UDC: 512.7
MSC: 14A22, 14F08, 14J33, 16E35, 16E45, 18G35, 18G70, 18G80

Subject:

Algebraic geometry, derived and noncommutative algebraic geometry, homological algebra, categories of (quasi)coherent sheaves, derived and triangulated categories, mirror symmetry.

Main publications:

1. D. O. Orlov, “Projective bundles, monoidal transformations, and derived categories of coherent sheaves”, Russian Acad. Sci. Izv. Math., 41:1 (1993), 133–141                
2. D. O. Orlov, “Equivalences of derived categories and K3 surfaces”, Algebraic geometry, 7, J. Math. Sci. (New York), 84:5 (1997), 1361–1381 , arXiv: alg-geom/9606006            
3. A. Bondal, D. Orlov, “Reconstruction of a variety from the derived category and groups of autoequivalences”, Compositio Math., 125:3 (2001), 327–344 https://link.springer.com/article/10.1023/A:1002470302976, arXiv: alg-geom/9712029              
4. D. O. Orlov, “Triangulated Categories of Singularities and D-Branes in Landau–Ginzburg Models”, Proc. Steklov Inst. Math., 246 (2004), 227–248 , arXiv: math/0302304          
5. D. Orlov, “Derived categories of coherent sheaves and triangulated categories of singularities”, Algebra, arithmetic, and geometry, v. II, Progr. Math., 270, Birkhäuser Boston, Inc., 2009, 503–531 , arXiv: math/0503632              
6. V. A. Lunts, D. O. Orlov, “Uniqueness of enhancement for triangulated categories”, J. Amer. Math. Soc., 23:3 (2010), 853–908 , arXiv: 0908.4187              
7. S. Gorchinskiy, D. Orlov, “Geometric phantom categories”, Publ. Math. Inst. Hautes Études Sci., 117:1 (2013), 329–349 , arXiv: 1209.6183                
8. Dmitri Orlov, “Smooth and proper noncommutative schemes and gluing of DG categories”, Adv. Math., 302 (2016), 59–105 , arXiv: 1402.7364                
9. Dmitri Orlov, “Finite-dimensional differential graded algebras and their geometric realizations”, Adv. Math., 366 (2020), 107096 , 33 pp., arXiv: 1907.08162                  

Recent publications

Presentations in Math-Net.Ru

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Organisations:

• Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
• Steklov International Mathematical Center
• Branch of Mathematical Sciences, Russian Academy of Sciences
• Moscow Mathematical Society