Western Math Calendar

Sunday	Monday	Tuesday	Wednesday	Thursday	Friday	Saturday
30	1	2	3 Analysis Seminar 15:00 Hrant Hakobyan (Toronto) Conformal dimension of Cantor sets. Quasiconformal invariants for path families Analysis Seminar Speaker: Hrant Hakobyan (Toronto) "Conformal dimension of Cantor sets. Quasiconformal invariants for path families" Time: 15:00 - 16:00 Room: MC 108 The infimal Hausdorff dimension of all quasysimmetric (qs) images of a metric space X is called Conformal dimension of X. A subset X of a line is called qs thick if every qs self map of the line maps X to a set of positive measure. Bishop and Tyson asked if there are sets which are not qs thick but still have conformal dimension 1. We will answer this affirmatively by proving that middle interval Cantor sets of Hausdorff dimension 1 have also Conformal dimension 1 provided they are uniformly perfect. In general the main obstruction for minimizing the dimension of a space X is the existence of "sufficiently many" curves in X. If the time permits we will define for any curve family in a plane a dimension type quasiconformal invariant. We will discuss some examples and will illustrate some connections of our invariant with the Conformal dimension of X.	4	5	6
7	8	9 Analysis Seminar 15:00 Guillaume Valette (Toronto) Volumes and density in subanalytic geometry Analysis Seminar Speaker: Guillaume Valette (Toronto) "Volumes and density in subanalytic geometry" Time: 15:00 - 16:00 Room: MC 108 We will be interested in the Haussdorf measure of subanalytic sets. The density of a germ of a singularity provides a significant information on this topic. We will study its evolution along a subanalytic family. We will also prove some results of sufficiency of jets which enable to to reduce the study from analytic to algebraic equations.	10	11	12	13
14	15	16 Analysis Seminar 15:00 Janusz Adamus (Western) Algebraic methods in local analytic geometry Analysis Seminar Speaker: Janusz Adamus (Western) "Algebraic methods in local analytic geometry" Time: 15:00 - 16:00 Room: MC 108 This series of three talks is intended to present some (known as well as recent) local analytic and combinatorial methods in complex analytic geometry. I will show how one can exploit them to establish a certain level of algebraic control over the geometric complexity of a mapping, along the lines of a classical freeness criterion of Auslander. This, on the other hand, leads to effective (computable) regularity criteria in the polynomial case.	17	18	19	20
21	22	23 Analysis Seminar 15:00 Janusz Adamus (Western) Algebraic methods in local analytic geometry Analysis Seminar Speaker: Janusz Adamus (Western) "Algebraic methods in local analytic geometry" Time: 15:00 - 16:00 Room: MC 108 This series of three talks is intended to present some (known as well as recent) local analytic and combinatorial methods in complex analytic geometry. I will show how one can exploit them to establish a certain level of algebraic control over the geometric complexity of a mapping, along the lines of a classical freeness criterion of Auslander. This, on the other hand, leads to effective (computable) regularity criteria in the polynomial case	24	25	26	27
28	29	30 Analysis Seminar 15:00 Janusz Adamus (Western) Algebraic methods in local analytic geometr Analysis Seminar Speaker: Janusz Adamus (Western) "Algebraic methods in local analytic geometr" Time: 15:00 - 16:00 Room: MC 108 This series of three talks is intended to present some (known as well as recent) local analytic and combinatorial methods in complex analytic geometry. I will show how one can exploit them to establish a certain level of algebraic control over the geometric complexity of a mapping, along the lines of a classical freeness criterion of Auslander. This, on the other hand, leads to effective (computable) regularity criteria in the polynomial case	31	1	2	3

Sunday

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Analysis Seminar

15:00 Hrant Hakobyan (Toronto) Conformal dimension of Cantor sets. Quasiconformal invariants for path families

Analysis Seminar

Speaker: Hrant Hakobyan (Toronto)

"Conformal dimension of Cantor sets. Quasiconformal invariants for path families"

Time: 15:00 - 16:00

Room: MC 108

The infimal Hausdorff dimension of all quasysimmetric (qs) images of a metric space X is called Conformal dimension of X. A subset X of a line is called qs thick if every qs self map of the line maps X to a set of positive measure. Bishop and Tyson asked if there are sets which are not qs thick but still have conformal dimension 1. We will answer this affirmatively by proving that middle interval Cantor sets of Hausdorff dimension 1 have also Conformal dimension 1 provided they are uniformly perfect. In general the main obstruction for minimizing the dimension of a space X is the existence of "sufficiently many" curves in X. If the time permits we will define for any curve family in a plane a dimension type quasiconformal invariant. We will discuss some examples and will illustrate some connections of our invariant with the Conformal dimension of X.

Analysis Seminar

15:00 Guillaume Valette (Toronto) Volumes and density in subanalytic geometry

Analysis Seminar

Speaker: Guillaume Valette (Toronto)

"Volumes and density in subanalytic geometry"

Time: 15:00 - 16:00

Room: MC 108

We will be interested in the Haussdorf measure of subanalytic sets. The density of a germ of a singularity provides a significant information on this topic. We will study its evolution along a subanalytic family. We will also prove some results of sufficiency of jets which enable to to reduce the study from analytic to algebraic equations.

Analysis Seminar

15:00 Janusz Adamus (Western) Algebraic methods in local analytic geometry

Analysis Seminar

Speaker: Janusz Adamus (Western)

"Algebraic methods in local analytic geometry"

Time: 15:00 - 16:00

Room: MC 108

This series of three talks is intended to present some (known as well as recent) local analytic and combinatorial methods in complex analytic geometry. I will show how one can exploit them to establish a certain level of algebraic control over the geometric complexity of a mapping, along the lines of a classical freeness criterion of Auslander. This, on the other hand, leads to effective (computable) regularity criteria in the polynomial case.

Analysis Seminar

15:00 Janusz Adamus (Western) Algebraic methods in local analytic geometry

Analysis Seminar

Speaker: Janusz Adamus (Western)

"Algebraic methods in local analytic geometry"

Time: 15:00 - 16:00

Room: MC 108

Analysis Seminar

15:00 Janusz Adamus (Western) Algebraic methods in local analytic geometr

Analysis Seminar

Speaker: Janusz Adamus (Western)

"Algebraic methods in local analytic geometr"

Time: 15:00 - 16:00

Room: MC 108

Sunday	Monday	Tuesday	Wednesday	Thursday	Friday	Saturday
	1	2	3 Analysis Seminar 15:00 Hrant Hakobyan (Toronto) Conformal dimension of Cantor sets. Quasiconformal invariants for path families Analysis Seminar Speaker: Hrant Hakobyan (Toronto) "Conformal dimension of Cantor sets. Quasiconformal invariants for path families" Time: 15:00 - 16:00 Room: MC 108 The infimal Hausdorff dimension of all quasysimmetric (qs) images of a metric space X is called Conformal dimension of X. A subset X of a line is called qs thick if every qs self map of the line maps X to a set of positive measure. Bishop and Tyson asked if there are sets which are not qs thick but still have conformal dimension 1. We will answer this affirmatively by proving that middle interval Cantor sets of Hausdorff dimension 1 have also Conformal dimension 1 provided they are uniformly perfect. In general the main obstruction for minimizing the dimension of a space X is the existence of "sufficiently many" curves in X. If the time permits we will define for any curve family in a plane a dimension type quasiconformal invariant. We will discuss some examples and will illustrate some connections of our invariant with the Conformal dimension of X.	4	5	6
7	8	9 Analysis Seminar 15:00 Guillaume Valette (Toronto) Volumes and density in subanalytic geometry Analysis Seminar Speaker: Guillaume Valette (Toronto) "Volumes and density in subanalytic geometry" Time: 15:00 - 16:00 Room: MC 108 We will be interested in the Haussdorf measure of subanalytic sets. The density of a germ of a singularity provides a significant information on this topic. We will study its evolution along a subanalytic family. We will also prove some results of sufficiency of jets which enable to to reduce the study from analytic to algebraic equations.	10	11	12	13
14	15	16 Analysis Seminar 15:00 Janusz Adamus (Western) Algebraic methods in local analytic geometry Analysis Seminar Speaker: Janusz Adamus (Western) "Algebraic methods in local analytic geometry" Time: 15:00 - 16:00 Room: MC 108 This series of three talks is intended to present some (known as well as recent) local analytic and combinatorial methods in complex analytic geometry. I will show how one can exploit them to establish a certain level of algebraic control over the geometric complexity of a mapping, along the lines of a classical freeness criterion of Auslander. This, on the other hand, leads to effective (computable) regularity criteria in the polynomial case.	17	18	19	20
21	22	23 Analysis Seminar 15:00 Janusz Adamus (Western) Algebraic methods in local analytic geometry Analysis Seminar Speaker: Janusz Adamus (Western) "Algebraic methods in local analytic geometry" Time: 15:00 - 16:00 Room: MC 108 This series of three talks is intended to present some (known as well as recent) local analytic and combinatorial methods in complex analytic geometry. I will show how one can exploit them to establish a certain level of algebraic control over the geometric complexity of a mapping, along the lines of a classical freeness criterion of Auslander. This, on the other hand, leads to effective (computable) regularity criteria in the polynomial case	24	25	26	27
28	29	30 Analysis Seminar 15:00 Janusz Adamus (Western) Algebraic methods in local analytic geometr Analysis Seminar Speaker: Janusz Adamus (Western) "Algebraic methods in local analytic geometr" Time: 15:00 - 16:00 Room: MC 108 This series of three talks is intended to present some (known as well as recent) local analytic and combinatorial methods in complex analytic geometry. I will show how one can exploit them to establish a certain level of algebraic control over the geometric complexity of a mapping, along the lines of a classical freeness criterion of Auslander. This, on the other hand, leads to effective (computable) regularity criteria in the polynomial case	31