COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Algebraic Geometry Seminar > Geometry and large N limits in Quantum Hall effect.

## Geometry and large N limits in Quantum Hall effect.Add to your list(s) Download to your calendar using vCal - Semyon Klevtsov (Cologne)
- Wednesday 18 November 2015, 14:15-15:15
- CMS MR13.
If you have a question about this talk, please contact Dr. J Ross. Quantum Hall effect occurs is real-world materials and is characterised by a precise quantization of Hall conductance, which can take integer of fractional values. This phenomenon has a geometric origin and best understood when considering QH states on Riemann surfaces. Main goal of the theory is to compute adiabatic phases corresponding to various geometric deformations (associated with the line bundle, metric and complex structure moduli), in the limit of a large number of particles. I will define the objects involved, and then give a complete solution of the problem for the integer QH states and for the Laughlin states in the fractional QHE , by computing the generating functional for these states. In the integer QH our method relies on methods borrowed form Kahler geometry, such as Bergman kernel expansion for high powers of holomorphic line bundle, and the answer is expressed in terms of energy functionals in Kahler geometry. We explain the relation of geometric phases to Quillen theory of determinant line bundles, using Bismut-Gillet-Soule anomaly formulas. For the much harder Laughlin states no rigorous methods are available, yet we still can compute the generating functional by physics methods such as path integral. This talk is part of the Algebraic Geometry Seminar series. ## This talk is included in these lists:- Algebraic Geometry Seminar
- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- CMS MR13
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Hanchen DaDaDash
- Interested Talks
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsMurray Edwards College . 'Making All Things New'? Evangelii Gaudium and Ecumenical Mission## Other talksBioengineering conference: Innovation through convergence Debtorsâ€™ schedules: a new source for understanding the economy in 18th-century England How T-cells cause autoimmune disease and hold the key to curing cancer Connecting behavioural and neural levels of analysis Deep supervised level set method: an approach to fully automated segmentation of cardiac MR images in patients with pulmonary hypertension Mysteries of the solar chromosphere explored using the high-resolution observations |