Speakers and Schedule |

08:30 - 09.25 Registration
09.25 – 09.30 Welcome
09.30 – 10.30 Regularity of vertex operator algebras
10.30 – 11.00 Coffee
11.00 – 12.00 On the converse theorem for Borcherds products
We consider a given meromorphic modular form $F$ for the group $\Gamma(L)$ whose zeros and poles lie on Heegner divisors. The converse theorem then states that, under certain assumptions on $L$, the form $F$ has to be the Borcherds lift of a weakly holomorphic modular form. We present some new results on this problem.
12.00 – 14.30 Lunch break and discussions
14.30 – 15.30 Vertex operator algebras on Riemann surfaces
15.30 – 16.00 Coffee
16.00 – 17.00 Trace identity and axial vectors for the Baby-monster
Our trace identity is a generalization of Matsuo-Norton trace formula. Then we will apply our identity to the Baby-monster SVOA and exhibit that there exists a one-to-one correspondence between 2A-elements of the Baby-monster and N=1 c=7/10 Virasoro vectors of the Baby-monster SVOA.
09.00 – 10.00
10.00 – 10.30 Coffee
10.30 – 11.30 Vector-valued automorphic forms and the Riemann-Hilbert problem
11.30 – 12.30 Classification approaches for rational vertex operator algebras
I will also describe an ongoing joint project of a database of vertex operator algebras and modular categories. A preliminary version of the database can be accessed at http://www.math.ksu.edu/~gerald/voas/
12.30 – 14.30 Lunch break and discussions
14.30 – 15.30 Conformal blocks on nodal curves
15.30 – 16.00 Coffee
16.00 – 17.00 The transition constant for arithmetic hyperbolic reflection groups
As applications, we show that the degree of ground fields of arithmetic hyperbolic reflection groups in dimensions at least 6 has the upper bound 25 (it was 56 before); in dimensions 5, 4, and 3 it has the upper bound 44 (in our papers, it was 138, and 909 before). These results and developed methods will be important for further classification of these groups. See details in arXiv:0910.5217 .
09.00 – 10.00 Towards the classification of framed holomorphic vertex operator algebras of central charge 24
The main topic is the classification of holomorophic simple current extensions of the tensor product of three copies of the vertex operator algebra $V_{\sqrt2E_8}^+$. In particular, we obtain new holomorphic framed vertex operator algebras of central charge 24.
10.00 – 10.30 Coffee
10.30 – 11.30 Explicit construction of logarithmic modules in CFT
14.00 Neckar River Cruise and Walk
09.00 – 10.00 Mathieu Moonshine
I shall describe evidence in favour of this idea, and explain how some aspects of it can be understood by studying the symmetries of sigma model CFTs on K3. (This is based on joint work with S Hohenegger and R Volpato.)
10.00 – 10.30 Coffee
10.30 – 11.30 Modular forms for the Weil representation and Borcherds’ conjecture
11.30 – 12.30 Automorphic properties of string theory amplitudes in various dimensions
This is based some work done in collaboration with Michael B. Green, Stephen D. Miller, Jorge Russo
12.30 – 14.30 Lunch break and discussions
14.30 – 15.30 Twisted correlation functions on self-sewn Riemann surfaces via generalized vertex algebra of intertwiners
15.30 – 16.00 Coffee
09.00 – 10.00 Algebraic structure of strongly regular vertex operator algebras
10.00 – 10.30 Coffee
10.30 – 11.30 Z_3-orbifold construction
11.30 – 12.30 Finite presentation of Kac-Moody groups over Z
Afternoon at free disposal
19.00 Conference Dinner |
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Last Updated on Sunday, 02 October 2011 10:09 |