Loading...
Theoretisch-Physikalisches Institut
Friedrich-Schiller-Universität Jena
Toggle navigation
Quantum Field Theory
Gravitational Theory
Graduiertenkolleg
SFB/TR7
SFB/TR18
Calendar event : The Topology of Chiral Vector Bundles (topological insulators of type AIII)
View Calendars
Calendar
Seminar of Research Training Group
Title
The Topology of Chiral Vector Bundles (topological insulators of type AIII)
Created by
ha59cex
Start
Tuesday June 2, 2015 16:15:00 CEST
End
Tuesday June 2, 2015 17:45:00 CEST
Description
Dr. Giuseppe de Nittis, Friedrich-Alexander-Universität Erlangen-Nürnberg
The classification of topological states of matter is an important hot topic in mathematical physics. In this talk I will describe a new approach to the classification of topological quantum systems in class AIII which is based on the study of a new category of vector bundles. The objects of this category, the chiral vector bundles, are pairs constituted by a complex vector bundle along with one of its automorphisms. We provide a classification for the homotopy equivalence classes of these objects which is based on the construction of a suitable classifying space. The computation of the cohomology of the latter allows us to introduce a proper set of characteristic cohomology classes: Some of those just reproduce the ordinary Chern classes but there are also new odd-dimensional classes which take care of the extra topological information introduced by the chiral structure. Chiral vector bundles provide the proper geometric model for topological quantum systems in class AIII, namely for systems endowed with a (pseudo-)symmetry of chiral type. The classification of the chiral vector bundles over sphere and tori (explicitly computable up to dimension 4) recover the commonly accepted classification for topological insulators of class AIII which is usually based on the K-group K1. However, this new classification turns out to be even richer since it takes care also for the possibility of non trivial Chern classes.
Status
Tentative
Confirmed
Cancelled
Classification
Location
SR 5, Helmholtzweg 4
Language
Organized by
Participants
Home
News Archive
Staff
Talks/Seminars
Workshops
Education & Students
Master's program Theoretical Physics
Lectures
Archive of lecture material
Studienarbeiten am TPI
Mitteldeutsche Physikkombo
Jobs
Contact
Log In
Username :
Password:
CapsLock is on.
Log in
I forgot my password
Register
Stay in SSL mode:
?
Calendar
Today
D
W
M
December 2018
Su
Mo
Tu
We
Th
Fr
Sa
25
26
27
28
29
30
01
02
03
04
05
06
07
08
09
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
01
02
03
04
05
Upcoming Events
No records to display
Other Sites
University
Faculty
Library
Computer Center
Deutsche Physikalische Gesellschaft (DPG)
Webmail
e-Archives
Useful Links