Workshop on Commutative Algebra and Algebraic Geometry in Prime Characteristics

Administration

Description

School details is at THIS LINK.

The workshop will introduce commutative algebra and algebraic geometry in prime characteristics and their relationship with complex algebraic geometry.

There have been many important developments in these fields during the last three decades. The Speakers in this workshop will present recent research in commutative algebra and algebraic geometry and their connections with combinatorics and the theory of singularities.

Plenary Speakers:

M. CHARDIN, Institut Mathématique de Jussieu, France

A. CONCA, University of Genoa, Italy

S. CUTKOSKY, University of Missouri, Columbia, USA

H. DAO, The University of Kansas, USA

D. EISENBUD, University of California, Berkeley, USA

M. HASHIMOTO, Osaka City University, Japan

L.T. HOA, Institute of Mathematics, Vietnam

C. HUNEKE, University of Virginia, USA

C. POLINI, University of Notre Dame, USA

V. SRINIVAS, Tata Institute of Fundamental Research, India

I. SWANSON, Purdue University, USA

B. ULRICH, Purdue University, USA

Confirmed Speakers:

I. ABERBACH, University of Missouri, USA

H. ANANTHNARAYAN, IIT Bombay, India

A. BANERJEE, IIT Kharagpur, India

A. CAMINATA, University of Genoa, Italy

A. DE STEFANI, University of Genoa, Italy

G. CAVIGLIA, Purdue University, USA

D.T. CUONG, Institute of Mathematics, Vietnam

C. D’CRUZ, Chennai Mathematical Institute, India

N. EPSTEIN, George Mason University, USA

A.V. JAYANTHAN, IIT Madras, India

M. KUMMINI, Chennai mathematical Institute, India

V. MUKUNDAN, IIT Delhi, India

L. NÚÑEZ-BETANCOURT, CIMAT, Mexico

T. PUTHENPURAKAL, IIT Bombay, India

A. QURESHI, Sabanci University, Turkey

P.H. QUY, FPT University, Vietnam

K. SATO, University of Kyushu, Fukuoka, Japan

V. TRIVEDI, Tata Institute of Fundamental Research, India

M. VARBARO, University of Genoa, Italy

Grants: A limited number of grants are available to support the attendance of selected participants, with priority given to participants from developing countries. There is no registration fee.

Material

Final list of Participants Group photo How to choose your Time Zone Poster Workshop ABSTRACTS

Workshop on Commutative Algebra and Algebraic Geometry in Prime Characteristics | (smr 3901)

Go to day

Monday, 8 May 2023

08:30 - 09:00 Registration formalities

REGISTRATION: Upon arrival, Visitors not staying in the ICTP Guest Houses, are kindly requested to complete registration formalities at the Leonardo Building (Lobby). The Registration Desk will be open from 8.30 to 9.00.

09:00 - 14:00

Chair: B. ULRICH, Purdue University, USA

09:00 Analytic Spread of Filtrations 50'

Speaker:	S. CUTKOSKY (University of Missouri, Columbia, USA)
Material:	Video

10:00 Blowup Algebras of Determinantal Ideals in Prime Characteristic 30'

Speaker:	A. DE STEFANI (University of Genoa, Italy)
Material:	Video

10:35 Coffee break 25'

11:00 Gorenstein Property of normalized tangent cones of integrally closed ideals of 2-dimensional normal local rings 50'

Speaker:	K. WATANABE (Nihon University, Japan)
Material:	Video

12:00 Algebraic and homological properties of Polyominoes 30'

Speaker:	A.A. QURESHI (Sabanci University, Turkey)
Material:	Slides Video

12:40 Lunch 1h20'

14:00 - 18:00

Chair: K. WATANABE, Nihon University, Japan

14:00 Hilbert-Kunz density function and its applications to some Hilbert-Kunz multiplicity con- jectures 30'

Speaker:	V. TRIVEDI (Tata Institute of Fundamental Research, India)
Material:	Video

14:40 Symbolic Rees algebras and set-theoretic complete intersections 30'

Speaker:	C. D’CRUZ (Chennai Mathematical Institute, India)
Material:	Video

15:15 Coffee break 25'

15:45 50 Years of Mathematics: the Work of Melvin Hochster 1h0'

Speaker:	C. HUNEKE (University of Virginia, USA)
Material:	Video

16:50 Welcome reception 1h10'

Tuesday, 9 May 2023

09:00 - 14:00

Chair: L.T. HOA, Institute of Mathematics, Vietnam

09:00 Ideals Associated to Subspace Arrangements 50'

Speaker: A. CONCA (University of Genoa, Italy)

10:00 Reduced type in one dimensional analytic algebras 30'

Speaker:	V. MUKUNDAN (IIT Delhi, India)
Material:	Video

10:35 Group photo & Coffee break 25'

11:00 Finite Presentation for the Tame Fundamental Group in Positie Characteristic 50'

Speaker:	V. SRINIVAS (Tata Institute of Fundamental Research, India)
Material:	Video

12:00 On a Generalization of two Results of Happel to Commutative Rings 30'

Speaker:	T. PUTHENPURAKAL (IIT Bombay, India)
Material:	Slides Video

12:40 Lunch 1h20'

14:00 - 16:45

Chair: V. SRINIVAS, Tata Institute of Fundamental Research, India

14:00 Singularities and Hilbert Functions 30'

Speaker:	M. VARBARO (University of Genoa, Italy)
Material:	Slides Video

14:40 Geometry of the tight closure operation 30'

Speaker:	N. EPSTEIN (George Mason University, USA)
Material:	Video

15:15 Coffee break 25'

15:45 The Mathematical Contributions of Craig Huneke: a Sampler 1h0'

Speaker:	B. ULRICH (Purdue University, USA)
Material:	Slides Video

Wednesday, 10 May 2023

09:00 - 14:00

Chair: C. POLINI, University of Notre Dame, USA

09:00 Residual Intersections 50'

Speaker:	M. CHARDIN (Institut Mathématique de Jussieu, France)
Material:	Video

10:00 Normal and Tight Hilbert Polynomials 30'

Speaker:	P.H. QUY (FPT University, Vietnam)
Material:	Slides Video

10:35 Coffee break 25'

11:00 Frobenius Maps on the Rings of Invariants 50'

Speaker:	M. HASHIMOTO (Osaka City University, Japan)
Material:	Slides Video

12:00 General Hyperplane Section of Log Canonical Threefolds in Positive Characteristic 30'

Speaker:	K. SATO (University of Kyushu, Fukuoka, Japan)
Material:	Video

12:40 Lunch 1h20'

14:00 - 16:45

Chair: S. CUTKOSKY, University of Missouri, Columbia, USA

14:00 Nash Blowups in Prime Characteristic 30'

Speaker:	L. NÚÑEZ-BETANCOURT (CIMAT, Mexico)
Material:	Video

14:40 On the Resurgence and Asymptotic Resurgence of Homogeneous Ideals 30'

Speaker:	A.V. JAYANTHAN (IIT Madras, India)
Material:	Slides Video

15:15 Coffee break 30'

15:45 Infinite Free Resolutions 1h0'

Speaker:	D. EISENBUD (University of California, Berkeley, USA)
Material:	Video

Thursday, 11 May 2023

09:00 - 14:00

Chair: M. HASHIMOTO, Osaka City University, Japan

09:00 The 3 Differents 50'

Speaker:	C. POLINI (University of Notre Dame, USA)
Material:	Video

10:00 Bounds on the Number of Generators of Prime Ideals 30'

Speaker:	G. CAVIGLIA (Purdue University, USA)
Material:	Video

10:35 Coffee break 25'

11:00 Categorical Approaches to Local Singularities 50'

Speaker:	H. DAO (The University of Kansas, USA)
Material:	Video

12:00 Remarks on Macaulayfications of Noetherian Schemes 30'

Speaker:	D.T. CUONG (Institute of Mathematics, Vietnam)
Material:	Video

12:40 Lunch 1h20'

14:00 - 16:45

Chair: M. CHARDIN, Institut Mathématique de Jussieu, France

14:00 F-signature of Some Hypersurfaces 30'

Speaker:	A. CAMINATA (University of Genoa, Italy)
Material:	Video

14:40 Hilbert-Samuel Coefficients of Frobenius Powers of an Ideal 30'

Speaker:	A. BANERJEE (IIT Kharagpur, India)
Material:	Video

15:15 Coffee break 25'

15:45 Tight closure 1h0'

Speaker:	I. SWANSON (Purdue University, USA)
Material:	Slides Video

Friday, 12 May 2023

09:00 - 12:30

Chair: H. DAO, The University of Kansas, USA

09:00 Castelnuovo-Mumford Regularity of Powers of an Ideal 50'

Speaker:	L.T. HOA (Institute of Mathematics, Vietnam)
Material:	Slides Video

10:00 F-rationality of Rees Algebras 30'

Speaker:	M. KUMMINI (Chennai Mathematical Institute, India)
Material:	Video

10:35 Coffee break 25'

11:00 On the Equality of Test Ideals 50'

Speaker:	I. ABERBACH (University of Missouri, USA)
Material:	Video

12:00 Valedictory function 30'

Speakers:	Maria Evelina ROSSI (University of Genoa, Italy), Claudio AREZZO (ICTP, Italy), Clair D’CRUZ (Chennai Mathematical Institute, India)
Material:	Video