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 Events
University of Mainz
Mon 7 Sep 2015, 3:00pm
Algebraic Geometry Seminar
PIMS, room 4247
Analyticity and Versality of Gross-Siebert families
PIMS, room 4247
Mon 7 Sep 2015, 3:00pm-4:00pm

Abstract

In a joint work with Siebert, I prove that the mirror map is trivial for the canonical formal families of Calabi-Yau varieties constructed by Gross and Siebert. In other words, the natural coordinate in a canonical Calabi-Yau 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 1-cycles in the intersection complex of the degenerate Calabi-Yau.
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Tue 8 Sep 2015, 9:00am SPECIAL
One Time Event
Math 125
Qualifying Exams - Analysis
Math 125
Tue 8 Sep 2015, 9:00am-12:00pm

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.
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Tue 8 Sep 2015, 1:00pm SPECIAL
One Time Event
Math 125
Qualifying Exams - Algebra
Math 125
Tue 8 Sep 2015, 1:00pm-4:00pm

Details

For more info, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
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Tue 8 Sep 2015, 1:00pm SPECIAL
One Time Event
Math 125
Qualifying Exams - Differential Equations
Math 125
Tue 8 Sep 2015, 1:00pm-4:00pm

Details

For more info, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
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Tue 8 Sep 2015, 4:30pm SPECIAL
One Time Event
Math 125
Department Graduate Orientation
Math 125
Tue 8 Sep 2015, 4:30pm-6:00pm

Details


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University of Warwick
Thu 10 Sep 2015, 3:30pm
Number Theory Seminar
SFU (room TBA)
TBA
SFU (room TBA)
Thu 10 Sep 2015, 3:30pm-4:30pm

Abstract

 
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Omer Angel
UBC Math
Fri 11 Sep 2015, 3:00pm
Department Colloquium
MATX 1100
TBA
MATX 1100
Fri 11 Sep 2015, 3:00pm-4:00pm

Abstract


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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, 3:00pm-4:00pm

Abstract

We consider random planar maps weighted by the critical
Fortuin--Kasteleyn 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).
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Kalle Karu
UBC Math
Fri 18 Sep 2015, 3:00pm
Department Colloquium
MATX 1100
TBA
MATX 1100
Fri 18 Sep 2015, 3:00pm-4:00pm

Abstract


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University of Washington
Wed 23 Sep 2015, 3:00pm
Probability Seminar
ESB 2012
TBA
ESB 2012
Wed 23 Sep 2015, 3:00pm-4:00pm

Abstract


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Malabika Pramanik
UBC Math
Fri 25 Sep 2015, 3:00pm
Department Colloquium
MATX 1100
TBA
MATX 1100
Fri 25 Sep 2015, 3:00pm-4:00pm

Abstract


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Konstantin Tikhomirov
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, 3:00pm-4:00pm

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 top-left 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 2-nd and resolves a long standing question regarding the weakest moment assumptions on the distribution of the entries sufficient for the convergence to hold.
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Andrew Rechnitzer
UBC Math
Fri 2 Oct 2015, 3:00pm
Department Colloquium
TBA
Fri 2 Oct 2015, 3:00pm-4:00pm

Abstract


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Colin MacDonald
UBC Math
Fri 9 Oct 2015, 3:00pm
Department Colloquium
TBA
Fri 9 Oct 2015, 3:00pm-4:00pm

Abstract


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Yakov Sinai
Princeton University
Fri 23 Oct 2015, 3:00pm SPECIAL
Department Colloquium / PIMS Seminars and PDF Colloquiums
ESB2012
TBA-PIMS/UBC Distinguished Colloquium
ESB2012
Fri 23 Oct 2015, 3:00pm-4:00pm
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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, 3:30pm-4:30pm

Abstract

 
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Cornell University
Wed 28 Oct 2015, 3:00pm
Probability Seminar
Wed 28 Oct 2015, 3:00pm-4:00pm

Abstract


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Carleton University
Thu 29 Oct 2015, 3:30pm
Number Theory Seminar
room MATH 126
TBA
room MATH 126
Thu 29 Oct 2015, 3:30pm-4:30pm

Abstract

 
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Fri 30 Oct 2015, 3:00pm
Department Colloquium
reserved
Fri 30 Oct 2015, 3:00pm-4:00pm

Abstract


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University of Washington
Wed 4 Nov 2015, 3:00pm
Probability Seminar
ESB 2012
TBA
ESB 2012
Wed 4 Nov 2015, 3:00pm-4:00pm

Abstract


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Fri 13 Nov 2015, 3:00pm
Department Colloquium
reserved
Fri 13 Nov 2015, 3:00pm-4:00pm

Abstract


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UC Berkeley
Fri 4 Mar 2016, 3:00pm SPECIAL
Department Colloquium
ESB 2012
PIMS Hugh Morris Lecture
ESB 2012
Fri 4 Mar 2016, 3:00pm-4:00pm

Abstract


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