SEMINARS, HARVARD-MIT COMBINATORICS
November 17, 2023 3:00 pmSuppose that we only see small “k x k snapshots” of a random two-dimensional “n x n picture”: can we piece the original picture back together? Motivated by the one-dimensional...
Read more
SEMINARS, OPEN NEIGHBORHOOD
November 15, 2023 4:30 pmThe subject of knot theory concerns the phenomena of "knotting", "tangling", and "braiding", investigated from a mathematical point of view. I'll discuss a family of tangles called rational tangles and...
Read more
SEMINARS, HARVARD-MIT COMBINATORICS
November 15, 2023 4:15 pmDiscrete Morse theory, developed by Forman, is an efficient tool to determine the homotopy type of a regular CW complex. The theory has been reformulated by Chari in purely combinatorial...
Read more
INFORMAL GEOMETRY AND DYNAMICS, SEMINARS
November 15, 2023 4:00 pmPlease see website for more details: www.math.harvard.edu/~ctm/sem.
Read more
SEMINARS, CMSA EVENTS
November 15, 2023 3:30 pmFor a finite set X, a family F of subsets of X is said to be increasing if any set A that contains B in F is also in F....
Read more
SEMINARS, NUMBER THEORY
November 15, 2023 3:00 pmConsider the setting of a smooth variety $S$ over $\mathbb{F}_q$, and an $\ell$-adic local on $S$ which has finite determinant and is geometrically irreducible. Work of Lafforgue proves that such...
Read more
SEMINARS, CMSA EVENTS
November 15, 2023 10:30 amHaldane pseudopotentials were first introduced as Hamiltonian models for the fractional quantum Hall effect, and it has been long expected that they should exhibit the characteristic properties of this exotic...
Read more
SEMINARS, HARVARD-MIT ALGEBRAIC GEOMETRY
November 14, 2023 3:00 pmGiven a fibration $f\colon X\to Y$ of smooth complex projective with general fiber $F$, the celebrated Iitaka conjecture predicts the inequality $\kappa(K_X)\geq \kappa(K_F)+\kappa(K_Y)$. Recently Chang showed that, under some natural...
Read more
SEMINARS, SPECIAL SEMINAR
November 13, 2023 3:00 pmIn 2005, Conrey, Farmer, Keating, Rubinstein, and Snaith posed a conjecture on the asymptotics of moments of quadratic L-functions. While this conjecture originates as a question about number fields, it...
Read more
SEMINARS, CMSA EVENTS
November 13, 2023 10:30 amA determinantal octic double solid is the double cover X of P^3 branched along the degree 8 determinant of a symmetric matrix of homogeneous forms on P^3. These X are...
Read more