University of Mainz

Mon 7 Sep 2015, 3:00pm
Algebraic Geometry Seminar
PIMS, room 4247

Analyticity and Versality of GrossSiebert families

PIMS, room 4247
Mon 7 Sep 2015, 3:00pm4:00pm
Abstract
In a joint work with Siebert, I prove that the mirror map is trivial for the canonical formal families of CalabiYau varieties constructed by Gross and Siebert. In other words, the natural coordinate in a canonical CalabiYau family is a canonical coordinate in the sense of Hodge theory. This implies that the higher weight periods directly carry enumerative information with no further gauging necessary as opposed to the classical case. As a consequence, the canonical formal families lift to analytic families that are versal. We compute the relevant period integrals explicitly. The cycles to integrate over are constructed from tropical 1cycles in the intersection complex of the degenerate CalabiYau.
hide


Tue 8 Sep 2015, 9:00am
SPECIAL
One Time Event
Math 125

Qualifying Exams  Analysis

Math 125
Tue 8 Sep 2015, 9:00am12:00pm
Details
For more information on Qualifying Exams, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
Lunch will be provided in Math 125 for students writing the Analysis exam.
hide


Tue 8 Sep 2015, 1:00pm
SPECIAL
One Time Event
Math 125

Qualifying Exams  Algebra

Math 125
Tue 8 Sep 2015, 1:00pm4:00pm
Details
For more info, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
hide


Tue 8 Sep 2015, 1:00pm
SPECIAL
One Time Event
Math 125

Qualifying Exams  Differential Equations

Math 125
Tue 8 Sep 2015, 1:00pm4:00pm
Details
For more info, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
hide


Tue 8 Sep 2015, 4:30pm
SPECIAL
One Time Event
Math 125

Department Graduate Orientation

Math 125
Tue 8 Sep 2015, 4:30pm6:00pm
Details
hide

University of Warwick

Thu 10 Sep 2015, 3:30pm
Number Theory Seminar
SFU (room TBA)

TBA

SFU (room TBA)
Thu 10 Sep 2015, 3:30pm4:30pm
Abstract
hide

UBC Math

Fri 11 Sep 2015, 3:00pm
Department Colloquium
MATX 1100

TBA

MATX 1100
Fri 11 Sep 2015, 3:00pm4:00pm
Abstract
hide

University of Cambridge

Wed 16 Sep 2015, 3:00pm
Probability Seminar
ESB 2012

Critical exponents for FK random planar maps

ESB 2012
Wed 16 Sep 2015, 3:00pm4:00pm
Abstract
We consider random planar maps weighted by the critical
FortuinKasteleyn percolation model with parameter $q \in (0,4)$. The study of these surfaces is central to the theory of Liouville quantum gravity.
We obtain rigorously the
value of critical exponents associated with the length of cluster
interfaces, which is shown to be
$$
\frac{4}{\pi} \arccos \left( \frac{\sqrt{2  \sqrt{q}}}{2} \right).
$$
This is consistent with physics predictions; in particular, applying
the KPZ formula we recover the dimension of SLE curves.
Joint work with Benoit Laslier and Gourab Ray (Cambridge).
hide

UBC Math

Fri 18 Sep 2015, 3:00pm
Department Colloquium
MATX 1100

TBA

MATX 1100
Fri 18 Sep 2015, 3:00pm4:00pm
Abstract
hide

University of Washington

Wed 23 Sep 2015, 3:00pm
Probability Seminar
ESB 2012

TBA

ESB 2012
Wed 23 Sep 2015, 3:00pm4:00pm
Abstract
hide

UBC Math

Fri 25 Sep 2015, 3:00pm
Department Colloquium
MATX 1100

TBA

MATX 1100
Fri 25 Sep 2015, 3:00pm4:00pm
Abstract
hide

University of Alberta

Wed 30 Sep 2015, 3:00pm
Probability Seminar
ESB 2012

The smallest singular value of random matrices with independent entries

ESB 2012
Wed 30 Sep 2015, 3:00pm4:00pm
Abstract
We consider a classical problem of estimating the smallest singular value of random rectangular and square matrices with independent identically distributed entries. The novelty of our results lies in very weak, or nonexisting, moment assumptions on the distribution of the entries. We prove that, given a sufficiently “tall” N \times n rectangular matrix A = (a_{ij} ) with i.i.d. entries satisfying the condition \sup_{\lambda \in \mathbb{R}} \mathbb{P} \left\{ \lvert a_{ij} − \lambda \rvert \le 1 \right\} \le 1/2, the smallest singular value s_n (A) satisfies s_n(A) \gtrsim \sqrt{N} with probability very close to one.
Our second theorem is an extension of the fundamental result of Bai and Yin from the early 1990’s. Let \{a_{ij} \}^\infty_{i,j=1} be an infinite double array of i.i.d. random variables with zero mean and unit variance, and let (N_m )_{m=1}^\infty be an integer sequence satisfying \lim_{m \to \infty} \frac{N_m}{m} = r\) for some \(r \in (1, \infty). Then, denoting by A_m the N_m \times m topleft corner of the array \{a_{ij}\}, we have
\[ \lim_{m \to \infty} \frac{s_m(A_m)}{\sqrt{N_m}} = \sqrt{r}1 \hspace{3mm}\mbox{ almost surely}.\]
This result does not require boundedness of any moments of a_{ij}'s higher than the 2nd and resolves a long standing question regarding the weakest moment assumptions on the distribution of the entries sufficient for the convergence to hold.
hide

UBC Math

Fri 2 Oct 2015, 3:00pm
Department Colloquium

TBA

Fri 2 Oct 2015, 3:00pm4:00pm
Abstract
hide

UBC Math

Fri 9 Oct 2015, 3:00pm
Department Colloquium

TBA

Fri 9 Oct 2015, 3:00pm4:00pm
Abstract
hide

Princeton University

Fri 23 Oct 2015, 3:00pm
SPECIAL
Department Colloquium / PIMS Seminars and PDF Colloquiums
ESB2012

TBAPIMS/UBC Distinguished Colloquium

ESB2012
Fri 23 Oct 2015, 3:00pm4:00pm
hide

Universita di Roma Tor Vergata

Tue 27 Oct 2015, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012

TBA

ESB 2012
Tue 27 Oct 2015, 3:30pm4:30pm
Abstract
hide

Cornell University

Wed 28 Oct 2015, 3:00pm
Probability Seminar


Wed 28 Oct 2015, 3:00pm4:00pm
Abstract
hide

Carleton University

Thu 29 Oct 2015, 3:30pm
Number Theory Seminar
room MATH 126

TBA

room MATH 126
Thu 29 Oct 2015, 3:30pm4:30pm
Abstract
hide


Fri 30 Oct 2015, 3:00pm
Department Colloquium

reserved

Fri 30 Oct 2015, 3:00pm4:00pm
Abstract
hide

University of Washington

Wed 4 Nov 2015, 3:00pm
Probability Seminar
ESB 2012

TBA

ESB 2012
Wed 4 Nov 2015, 3:00pm4:00pm
Abstract
hide


Fri 13 Nov 2015, 3:00pm
Department Colloquium

reserved

Fri 13 Nov 2015, 3:00pm4:00pm
Abstract
hide

UC Berkeley

Fri 4 Mar 2016, 3:00pm
SPECIAL
Department Colloquium
ESB 2012

PIMS Hugh Morris Lecture

ESB 2012
Fri 4 Mar 2016, 3:00pm4:00pm
Abstract
hide
