Stanislav Smirnov - ku
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institut for matematiske fag københavns universitet Harald Bohr Lecture Series }Over the last decades, there was much progress in understanding 2D lattice models of critical phenomena. It started with several theories, developed by physicists. Most no- tably, Conformal Field Theory led to spectacular predictions for 2D lattice models: e.g., critical percolation cluster almost surely has Hausdorff dimension 91/48, while the num- ber of self-avoiding length N walks on the hexagonal lattice grows like (2+√2) N/2 N 11/32 . While the algebraic framework of CFT is rather solid, rigorous arguments relating it to lattice models were lacking. More recently, mathematical approaches were developed, allowing not only for rigorous proofs of many such results, but also for new physical intuition. We will discuss some of the applications of complex analysis to the study of 2D lattice models.} Stanislav Smirnov Complex analysis and 2D statistical physics Professor at Université de Genève, (Switzerland) & Skolkovo Institute of Science and Technology (Russia) Awarded the Fields Medal in 2010 Tuesday 28 November 2017, 15:15-16:30 NEW LOCATION: Auditorium 1 , HCØ, Universitetsparken 5 Coffee & cakes before the lecture, at 14:45 in the lunchroom at 4th floor. Photo: Klaus Tschira Stiftung / Peter Badge
Transcript of Stanislav Smirnov - ku
i n s t i t u t f o r m at e m at i s k e fagkø b e n h av n s u n i ve r s i t e t
Harald Bohr Lecture Series
}Over the last decades, there was much progress in understanding 2D lattice models of
critical phenomena. It started with several theories, developed by physicists. Most no-
tably, Conformal Field Theory led to spectacular predictions for 2D lattice models: e.g.,
critical percolation cluster almost surely has Hausdorff dimension 91/48, while the num-
ber of self-avoiding length N walks on the hexagonal lattice grows like (2+√2)N/2 N11/32.
While the algebraic framework of CFT is rather solid, rigorous arguments relating it to
lattice models were lacking.
More recently, mathematical approaches were developed, allowing not only for rigorous
proofs of many such results, but also for new physical intuition. We will discuss some of
the applications of complex analysis to the study of 2D lattice models.}
Stanislav Smirnov
Complex analysis and 2D statistical physics
Professor at Univers ité de Genève, (Switzer land) & Skolkovo Inst itute of Sc ience and Technology (Russ ia)
Awarded the F ields Medal in 2010
Tuesday 28 November 2017, 15:15-16:30
NEW LOCATION: Auditorium 1, HCØ, Universitetsparken 5
Coffee & cakes before the lecture, at 14:45 in the lunchroom at 4th floor.
Photo: K laus Tsch i ra St i f tung / Peter Badge
